Fall 2015 Math 141:505 Exam 3 Form A
|
|
- Catherine Ross
- 6 years ago
- Views:
Transcription
1 Fall 205 Math 4:505 Exam 3 Form A Last Name: First Name: Exam Seat #: UIN: On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work Signature: INSTRUCTIONS Part : Multiple Choice (Problems -8) Each multiple choice problem is worth 6 points for a total of 48 points Answers should be written in the boxes provided No partial credit will be given Part 2: Work Out (Problems 9-3) The number of points for each problem is indicated next to the problem for a total of points Partial credit will be given All steps must be written clearly and neatly to receive credit If you use your calculator for anything beyond an arithmetic calculation, please indicate how at the appropriate step Box your final answer An Aggie does not lie, cheat or steal or tolerate those who do
2 Part : Multiple-Choice Each multiple choice problem is worth 6 points for a total of 48 points No partial credit will be given Answers should be written in the boxes provided An experiment consists of selecting a card at random from a deck of cards What is the probability that a heart or an ace is drawn? (a) 7 (b) 6 (c) 8 (d) b 2 If E and F are independent events, P(E) = 45, and P(F) = 5, what is P(E c F c )? (a) 775 (b) 725 (c) 275 (d) 225 a 3 Which of the following is an infinite discrete random variable? (a) The number of heads that occur when a coin is tossed five times (b) The distance (in miles) a commuter travels to work (c) The number of boys in a two-child family (d) The number of times a die is rolled until a 6 falls uppermost d 4 If the odds in favor of a team winning a particular football match are 7 to 5, what is the probability that the team will win the match? (a) 5 2 (b) 5 7 (c) 7 2 (d) 7 5 c 2
3 5 Two light bulbs are selected at random from a lot of 0, of which 4 are defective What is the probability that both light bulbs are defective? (Answers below are rounded to two decimal places) (a) 03 (b) 3 (c) 6 (d) 2 b 6 The personnel department of a company compiled the following data regarding the income and education of its employees: Income $65,000 or below Income above $65,000 Noncollege graduate College graduate 400 What is the probability that a randomly chosen employee has income above $65,000 if it is known that he or she has a college degree? (a) (b) 560 (c) 560 (d) 20 7 Refer to the table in the previous problem What is the probability that a randomly chosen employee has income above $65,000 or is a college graduate? (a) (b) 240 (c) 960 (d) A mathematics test consists of eight multiple-choice questions If each question has four possible answers, of which only one is correct, what is the probability that a student who guesses at random on each question will answer at most two questions correctly? (Answers below are rounded to two decimal places) d c (a) 3 (b) 37 (c) 59 (d) 68 d 3
4 Part 2: Work Out The number of points for each problem is indicated next to the problem Partial credit will be given All steps must be written clearly and neatly to receive credit If you use your calculator for anything beyond an arithmetic calculation, please indicate how at the appropriate step Box your final answer 9 (8pts) Let S = {s,s 2,s 3,s 4,s 5,s 6 } be the sample space associated with an experiment having the following probability distribution: Outcome s s 2 s 3 s 4 s 5 s 6 Probability 2 a 2 b 3 2 (a) Find P({s,s 3,s 5 }) P({s,s 3,s 5 }) = P(s ) + P(s 3 ) + P(s 5 ) = = 2 (b) If P({s 3,s 4,s 5 }) = 2 7, find a and b 7 2 = P({s 3,s 4,s 5 }) = P(s 3 ) + P(s 4 ) + P(s 5 ) = 2 + b + 3 = b so b = = 2 2 = 6 All the probabilities should sum to, so a = 2 2 b 3 2 = 2 3 = 4 4
5 0 (0pts) The relative humidity, in percent, in the morning for the months of January through December in Boston follows: Find the,68,67,69,69,7,73,74,76,79,77,74 (a) mean, 7225 (Can use -variable stats, or just compute manually) (b) median, 72 (First, rearrange the list in either increasing or decreasing order Since there is an even number of data points, there are two in the middle Take the average of the middle two) (c) mode(s), 69 and 74 (d) standard deviation, (Use -variable stats) (e) variance ( ) 2 = 308 of this set of data (0pts) Which of the following events is more likely to occur? Justify your answer E: Getting a six at least once in 4 throws of a single fair die F: Getting a double six at least once in 24 throws of a pair of fair dice P(E) = binompd f (4, 6,0) 577 P(F) = binompd f (24, 36,0) 494 Event E is more likely 5
6 2 (4pts) The chief loan officer of La Crosse Home Mortgage Company summarized the housing loans extended by the company in 204 according to type and term of the loan Her list shows that % of the loans were fixedrate mortgages (F), 25% were adjustable-rate mortgages (A), and 5% belong to some other category (O) Of the fixed-rate mortgages, 80% were 30-year loans and 20% were 5-year loans; of the adjustable-rate mortgages, 40% were 30-year loans and 60% were 5-year loans; finally, of the other loans extended, 30% were 5-year loans, 60% were 0-year loans, and 0% were for a term of 5 years or less (a) Draw a tree diagram representing the data F A O (b) What is the probability that a home loan extended by La Crosse has an adjustable rate and is for a term of 5 years? P(A 5) = (25)(6) = 5 (c) What is the probability that a home loan extended by La Crosse is for a term of 30 years? P(30) = (7)(8) + (25)(4) = 66 (d) What is the probability that a 5-year loan has a fixed rate? P(F 5) = P(F 5) (7)(2) P(5) = (7)(2)+(25)(6)+(05)(3) =
7 3 (0pts) Four balls are selected at random without replacement from an urn containing four green balls, two red balls, and two blue balls Let the random variable X denote the number of blue balls drawn (a) Find the probability distribution of the random variable X x 0 2 P(X = x) C(2,0)C(6,4) C(8,4) = 5 C(2,)C(6,3) C(8,4) = 40 C(2,2)C(6,2) C(8,4) = 5 (b) Compute E(X) E(X) = 0( ) + ( ) + 2( ) = Problem Part Total Score 7
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 131-03 Practice Questions for Exam# 2 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) What is the effective rate that corresponds to a nominal
More informationChapter 3: Probability Distributions and Statistics
Chapter 3: Probability Distributions and Statistics Section 3.-3.3 3. Random Variables and Histograms A is a rule that assigns precisely one real number to each outcome of an experiment. We usually denote
More informationSection 8.1 Distributions of Random Variables
Section 8.1 Distributions of Random Variables Random Variable A random variable is a rule that assigns a number to each outcome of a chance experiment. There are three types of random variables: 1. Finite
More informationMath 14 Lecture Notes Ch. 4.3
4.3 The Binomial Distribution Example 1: The former Sacramento King's DeMarcus Cousins makes 77% of his free throws. If he shoots 3 times, what is the probability that he will make exactly 0, 1, 2, or
More informationSection 3.1 Distributions of Random Variables
Section 3.1 Distributions of Random Variables Random Variable A random variable is a rule that assigns a number to each outcome of a chance experiment. There are three types of random variables: 1. Finite
More informationSection 8.1 Distributions of Random Variables
Section 8.1 Distributions of Random Variables Random Variable A random variable is a rule that assigns a number to each outcome of a chance experiment. There are three types of random variables: 1. Finite
More informationMath 1070 Sample Exam 2 Spring 2015
University of Connecticut Department of Mathematics Math 1070 Sample Exam 2 Spring 2015 Name: Instructor Name: Section: Exam 2 will cover Sections 4.6-4.7, 5.3-5.4, 6.1-6.4, and F.1-F.4. This sample exam
More informationExam II Math 1342 Capters 3-5 HCCS. Name
Exam II Math 1342 Capters 3-5 HCCS Name Date Provide an appropriate response. 1) A single six-sided die is rolled. Find the probability of rolling a number less than 3. A) 0.5 B) 0.1 C) 0.25 D 0.333 1)
More informationDetermine whether the given events are disjoint. 1) Drawing a face card from a deck of cards and drawing a deuce A) Yes B) No
Assignment 8.-8.6 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the given events are disjoint. 1) Drawing a face card from
More informationMATH 112 Section 7.3: Understanding Chance
MATH 112 Section 7.3: Understanding Chance Prof. Jonathan Duncan Walla Walla University Autumn Quarter, 2007 Outline 1 Introduction to Probability 2 Theoretical vs. Experimental Probability 3 Advanced
More informationLecture 9. Probability Distributions. Outline. Outline
Outline Lecture 9 Probability Distributions 6-1 Introduction 6- Probability Distributions 6-3 Mean, Variance, and Expectation 6-4 The Binomial Distribution Outline 7- Properties of the Normal Distribution
More informationChapter 8 Homework Solutions Compiled by Joe Kahlig
homewk problems, B-copyright Joe Kahlig Chapter Solutions, Page Chapter omewk Solutions Compiled by Joe Kahlig 0. 0. 0. 0.. You are counting the number of games and there are a limited number of games
More informationTheoretical Foundations
Theoretical Foundations Probabilities Monia Ranalli monia.ranalli@uniroma2.it Ranalli M. Theoretical Foundations - Probabilities 1 / 27 Objectives understand the probability basics quantify random phenomena
More informationAssignment 2 (Solution) Probability and Statistics
Assignment 2 (Solution) Probability and Statistics Dr. Jitesh J. Thakkar Department of Industrial and Systems Engineering Indian Institute of Technology Kharagpur Instruction Total No. of Questions: 15.
More informationChapter 6: Random Variables. Ch. 6-3: Binomial and Geometric Random Variables
Chapter : Random Variables Ch. -3: Binomial and Geometric Random Variables X 0 2 3 4 5 7 8 9 0 0 P(X) 3???????? 4 4 When the same chance process is repeated several times, we are often interested in whether
More informationPart 1 In which we meet the law of averages. The Law of Averages. The Expected Value & The Standard Error. Where Are We Going?
1 The Law of Averages The Expected Value & The Standard Error Where Are We Going? Sums of random numbers The law of averages Box models for generating random numbers Sums of draws: the Expected Value Standard
More informationLecture 9. Probability Distributions
Lecture 9 Probability Distributions Outline 6-1 Introduction 6-2 Probability Distributions 6-3 Mean, Variance, and Expectation 6-4 The Binomial Distribution Outline 7-2 Properties of the Normal Distribution
More informationMATH CALCULUS & STATISTICS/BUSN - PRACTICE EXAM #2 - SUMMER DR. DAVID BRIDGE
MATH 2053 - CALCULUS & STATISTICS/BUSN - PRACTICE EXAM #2 - SUMMER 2007 - DR. DAVID BRIDGE MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the
More informationSTAT 3090 Test 2 - Version B Fall Student s Printed Name: PLEASE READ DIRECTIONS!!!!
Student s Printed Name: Instructor: XID: Section #: Read each question very carefully. You are permitted to use a calculator on all portions of this exam. You are NOT allowed to use any textbook, notes,
More informationWorkSHEET 13.3 Probability III Name:
WorkSHEET 3.3 Probability III Name: In the Lotto draw there are numbered balls. Find the probability that the first number drawn is: (a) a (b) a (d) even odd (e) greater than 40. Using: (a) P() = (b) P()
More informationSection Distributions of Random Variables
Section 8.1 - Distributions of Random Variables Definition: A random variable is a rule that assigns a number to each outcome of an experiment. Example 1: Suppose we toss a coin three times. Then we could
More informationSection Distributions of Random Variables
Section 8.1 - Distributions of Random Variables Definition: A random variable is a rule that assigns a number to each outcome of an experiment. Example 1: Suppose we toss a coin three times. Then we could
More informationVIDEO 1. A random variable is a quantity whose value depends on chance, for example, the outcome when a die is rolled.
Part 1: Probability Distributions VIDEO 1 Name: 11-10 Probability and Binomial Distributions A random variable is a quantity whose value depends on chance, for example, the outcome when a die is rolled.
More informationLesson 97 - Binomial Distributions IBHL2 - SANTOWSKI
Lesson 97 - Binomial Distributions IBHL2 - SANTOWSKI Opening Exercise: Example #: (a) Use a tree diagram to answer the following: You throwing a bent coin 3 times where P(H) = / (b) THUS, find the probability
More informationOpening Exercise: Lesson 91 - Binomial Distributions IBHL2 - SANTOWSKI
08-0- Lesson 9 - Binomial Distributions IBHL - SANTOWSKI Opening Exercise: Example #: (a) Use a tree diagram to answer the following: You throwing a bent coin times where P(H) = / (b) THUS, find the probability
More informationExample. Chapter 8 Probability Distributions and Statistics Section 8.1 Distributions of Random Variables
Chapter 8 Probability Distributions and Statistics Section 8.1 Distributions of Random Variables You are dealt a hand of 5 cards. Find the probability distribution table for the number of hearts. Graph
More informationName: Date: Pd: Quiz Review
Name: Date: Pd: Quiz Review 8.1-8.3 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A die is cast repeatedly until a 1 falls uppermost. Let the random
More informationExamples: Random Variables. Discrete and Continuous Random Variables. Probability Distributions
Random Variables Examples: Random variable a variable (typically represented by x) that takes a numerical value by chance. Number of boys in a randomly selected family with three children. Possible values:
More informationSection M Discrete Probability Distribution
Section M Discrete Probability Distribution A random variable is a numerical measure of the outcome of a probability experiment, so its value is determined by chance. Random variables are typically denoted
More information(c) The probability that a randomly selected driver having a California drivers license
Statistics Test 2 Name: KEY 1 Classify each statement as an example of classical probability, empirical probability, or subjective probability (a An executive for the Krusty-O cereal factory makes an educated
More informationMath 160 Professor Busken Chapter 5 Worksheets
Math 160 Professor Busken Chapter 5 Worksheets Name: 1. Find the expected value. Suppose you play a Pick 4 Lotto where you pay 50 to select a sequence of four digits, such as 2118. If you select the same
More informationSection Random Variables and Histograms
Section 3.1 - Random Variables and Histograms Definition: A random variable is a rule that assigns a number to each outcome of an experiment. Example 1: Suppose we toss a coin three times. Then we could
More informationChapter 3 - Lecture 5 The Binomial Probability Distribution
Chapter 3 - Lecture 5 The Binomial Probability October 12th, 2009 Experiment Examples Moments and moment generating function of a Binomial Random Variable Outline Experiment Examples A binomial experiment
More informationLecture 6 Probability
Faculty of Medicine Epidemiology and Biostatistics الوبائيات واإلحصاء الحيوي (31505204) Lecture 6 Probability By Hatim Jaber MD MPH JBCM PhD 3+4-7-2018 1 Presentation outline 3+4-7-2018 Time Introduction-
More informationMathematical Concepts Joysheet 1 MAT 117, Spring 2011 D. Ivanšić. Name: Show all your work!
Mathematical Concepts Joysheet 1 Use your calculator to compute each expression to 6 significant digits accuracy. Write down thesequence of keys youentered inorder to compute each expression. Donot roundnumbers
More informationChapter 4 Discrete Random variables
Chapter 4 Discrete Random variables A is a variable that assumes numerical values associated with the random outcomes of an experiment, where only one numerical value is assigned to each sample point.
More informationLearning Goals: * Determining the expected value from a probability distribution. * Applying the expected value formula to solve problems.
Learning Goals: * Determining the expected value from a probability distribution. * Applying the expected value formula to solve problems. The following are marks from assignments and tests in a math class.
More informationPart 10: The Binomial Distribution
Part 10: The Binomial Distribution The binomial distribution is an important example of a probability distribution for a discrete random variable. It has wide ranging applications. One readily available
More informationName: Show all your work! Mathematical Concepts Joysheet 1 MAT 117, Spring 2013 D. Ivanšić
Mathematical Concepts Joysheet 1 Use your calculator to compute each expression to 6 significant digits accuracy or six decimal places, whichever is more accurate. Write down the sequence of keys you entered
More information3. The n observations are independent. Knowing the result of one observation tells you nothing about the other observations.
Binomial and Geometric Distributions - Terms and Formulas Binomial Experiments - experiments having all four conditions: 1. Each observation falls into one of two categories we call them success or failure.
More informationMATH 264 Problem Homework I
MATH Problem Homework I Due to December 9, 00@:0 PROBLEMS & SOLUTIONS. A student answers a multiple-choice examination question that offers four possible answers. Suppose that the probability that the
More informationSTOR 155 Introductory Statistics (Chap 5) Lecture 14: Sampling Distributions for Counts and Proportions
The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL STOR 155 Introductory Statistics (Chap 5) Lecture 14: Sampling Distributions for Counts and Proportions 5/31/11 Lecture 14 1 Statistic & Its Sampling Distribution
More information8.4: The Binomial Distribution
c Dr Oksana Shatalov, Spring 2012 1 8.4: The Binomial Distribution Binomial Experiments have the following properties: 1. The number of trials in the experiment is fixed. 2. There are 2 possible outcomes
More information11-4 The Binomial Distribution
Determine whether each experiment is a binomial experiment or can be reduced to a binomial experiment. If so, describe a trial, determine the random variable, and state n, p, and q. 1. A study finds that
More informationExample - Let X be the number of boys in a 4 child family. Find the probability distribution table:
Chapter8 Probability Distributions and Statistics Section 8.1 Distributions of Random Variables tthe value of the result of the probability experiment is a RANDOM VARIABLE. Example - Let X be the number
More informationMATH1215: Mathematical Thinking Sec. 08 Spring Worksheet 9: Solution. x P(x)
N. Name: MATH: Mathematical Thinking Sec. 08 Spring 0 Worksheet 9: Solution Problem Compute the expected value of this probability distribution: x 3 8 0 3 P(x) 0. 0.0 0.3 0. Clearly, a value is missing
More information3. The n observations are independent. Knowing the result of one observation tells you nothing about the other observations.
Binomial and Geometric Distributions - Terms and Formulas Binomial Experiments - experiments having all four conditions: 1. Each observation falls into one of two categories we call them success or failure.
More information12 Math Chapter Review April 16 th, Multiple Choice Identify the choice that best completes the statement or answers the question.
Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which situation does not describe a discrete random variable? A The number of cell phones per household.
More informationChapter 4 Discrete Random variables
Chapter 4 Discrete Random variables A is a variable that assumes numerical values associated with the random outcomes of an experiment, where only one numerical value is assigned to each sample point.
More informationProblem Set 07 Discrete Random Variables
Name Problem Set 07 Discrete Random Variables MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean of the random variable. 1) The random
More informationTest - Sections 11-13
Test - Sections 11-13 version 1 You have just been offered a job with medical benefits. In talking with the insurance salesperson you learn that the insurer uses the following probability calculations:
More informationexpl 1: Consider rolling two distinguishable, six-sided dice. Here is the sample space. Answer the questions that follow.
General Education Statistics Class Notes Conditional Probability (Section 5.4) What is the probability you get a sum of 5 on two dice? Now assume one die is a 4. Does that affect the probability the sum
More informationFINAL REVIEW W/ANSWERS
FINAL REVIEW W/ANSWERS ( 03/15/08 - Sharon Coates) Concepts to review before answering the questions: A population consists of the entire group of people or objects of interest to an investigator, while
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
First Name: Last Name: SID: Class Time: M Tu W Th math10 - HW3 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Continuous random variables are
More informationMANAGEMENT PRINCIPLES AND STATISTICS (252 BE)
MANAGEMENT PRINCIPLES AND STATISTICS (252 BE) Normal and Binomial Distribution Applied to Construction Management Sampling and Confidence Intervals Sr Tan Liat Choon Email: tanliatchoon@gmail.com Mobile:
More informationBinomial Random Variable - The count X of successes in a binomial setting
6.3.1 Binomial Settings and Binomial Random Variables What do the following scenarios have in common? Toss a coin 5 times. Count the number of heads. Spin a roulette wheel 8 times. Record how many times
More informationChapter 8 Homework Solutions Compiled by Joe Kahlig. speed(x) freq 25 x < x < x < x < x < x < 55 5
H homework problems, C-copyright Joe Kahlig Chapter Solutions, Page Chapter Homework Solutions Compiled by Joe Kahlig. (a) finite discrete (b) infinite discrete (c) continuous (d) finite discrete (e) continuous.
More informationMATH 446/546 Homework 1:
MATH 446/546 Homework 1: Due September 28th, 216 Please answer the following questions. Students should type there work. 1. At time t, a company has I units of inventory in stock. Customers demand the
More informationMath 1070 Final Exam Practice Spring 2014
University of Connecticut Department of Mathematics Math 1070 Practice Spring 2014 Name: Instructor Name: Section: Read This First! This is a closed notes, closed book exam. You can not receive aid on
More informationMA 1125 Lecture 14 - Expected Values. Wednesday, October 4, Objectives: Introduce expected values.
MA 5 Lecture 4 - Expected Values Wednesday, October 4, 27 Objectives: Introduce expected values.. Means, Variances, and Standard Deviations of Probability Distributions Two classes ago, we computed the
More informationMAT 112 Final Exam Review
MAT 2 Final Exam Review. Write the slope-intercept form of the equation of the line that passes through the points ( 2, 9) and (6, 7). Then find the x-intercept, the y-intercept, and give the y-coordinate
More informationBinomial formulas: The binomial coefficient is the number of ways of arranging k successes among n observations.
Chapter 8 Notes Binomial and Geometric Distribution Often times we are interested in an event that has only two outcomes. For example, we may wish to know the outcome of a free throw shot (good or missed),
More informationExample - Let X be the number of boys in a 4 child family. Find the probability distribution table:
Chapter7 Probability Distributions and Statistics Distributions of Random Variables tthe value of the result of the probability experiment is a RANDOM VARIABLE. Example - Let X be the number of boys in
More informationSTAT 3090 Test 2 - Version B Fall Student s Printed Name: PLEASE READ DIRECTIONS!!!!
STAT 3090 Test 2 - Fall 2015 Student s Printed Name: Instructor: XID: Section #: Read each question very carefully. You are permitted to use a calculator on all portions of this exam. You are NOT allowed
More informationd) Find the standard deviation of the random variable X.
Q 1: The number of students using Math lab per day is found in the distribution below. x 6 8 10 12 14 P(x) 0.15 0.3 0.35 0.1 0.1 a) Find the mean for this probability distribution. b) Find the variance
More informationApplied Mathematics 12 Extra Practice Exercises Chapter 3
H E LP Applied Mathematics Extra Practice Exercises Chapter Tutorial., page 98. A bag contains 5 red balls, blue balls, and green balls. For each of the experiments described below, complete the given
More informationTest 6A AP Statistics Name:
Test 6A AP Statistics Name: Part 1: Multiple Choice. Circle the letter corresponding to the best answer. 1. A marketing survey compiled data on the number of personal computers in households. If X = the
More information1. You roll a six sided die two times. What is the probability that you do not get a three on either roll? 5/6 * 5/6 = 25/36.694
Math 107 Review for final test 1. You roll a six sided die two times. What is the probability that you do not get a three on either roll? 5/6 * 5/6 = 25/36.694 2. Consider a box with 5 blue balls, 7 red
More informationA.REPRESENTATION OF DATA
A.REPRESENTATION OF DATA (a) GRAPHS : PART I Q: Why do we need a graph paper? Ans: You need graph paper to draw: (i) Histogram (ii) Cumulative Frequency Curve (iii) Frequency Polygon (iv) Box-and-Whisker
More information4.1 Probability Distributions
Probability and Statistics Mrs. Leahy Chapter 4: Discrete Probability Distribution ALWAYS KEEP IN MIND: The Probability of an event is ALWAYS between: and!!!! 4.1 Probability Distributions Random Variables
More information5.2 Random Variables, Probability Histograms and Probability Distributions
Chapter 5 5.2 Random Variables, Probability Histograms and Probability Distributions A random variable (r.v.) can be either continuous or discrete. It takes on the possible values of an experiment. It
More information***SECTION 8.1*** The Binomial Distributions
***SECTION 8.1*** The Binomial Distributions CHAPTER 8 ~ The Binomial and Geometric Distributions In practice, we frequently encounter random phenomenon where there are two outcomes of interest. For example,
More informationExample 1: Identify the following random variables as discrete or continuous: a) Weight of a package. b) Number of students in a first-grade classroom
Section 5-1 Probability Distributions I. Random Variables A variable x is a if the value that it assumes, corresponding to the of an experiment, is a or event. A random variable is if it potentially can
More informationModel Paper Statistics Objective. Paper Code Time Allowed: 20 minutes
Model Paper Statistics Objective Intermediate Part I (11 th Class) Examination Session 2012-2013 and onward Total marks: 17 Paper Code Time Allowed: 20 minutes Note:- You have four choices for each objective
More informationChapter 4 and 5 Note Guide: Probability Distributions
Chapter 4 and 5 Note Guide: Probability Distributions Probability Distributions for a Discrete Random Variable A discrete probability distribution function has two characteristics: Each probability is
More information2.) What is the set of outcomes that describes the event that at least one of the items selected is defective? {AD, DA, DD}
Math 361 Practice Exam 2 (Use this information for questions 1 3) At the end of a production run manufacturing rubber gaskets, items are sampled at random and inspected to determine if the item is Acceptable
More informationThe Binomial Probability Distribution
The Binomial Probability Distribution MATH 130, Elements of Statistics I J. Robert Buchanan Department of Mathematics Fall 2017 Objectives After this lesson we will be able to: determine whether a probability
More informationProbability: Week 4. Kwonsang Lee. University of Pennsylvania February 13, 2015
Probability: Week 4 Kwonsang Lee University of Pennsylvania kwonlee@wharton.upenn.edu February 13, 2015 Kwonsang Lee STAT111 February 13, 2015 1 / 21 Probability Sample space S: the set of all possible
More informationA probability distribution shows the possible outcomes of an experiment and the probability of each of these outcomes.
Introduction In the previous chapter we discussed the basic concepts of probability and described how the rules of addition and multiplication were used to compute probabilities. In this chapter we expand
More informationFINAL REVIEW 14! (14 2)!2!
Discrete Mathematics FINAL REVIEW Name Per. Evaluate and simplify the following completely, Show all your work. 1. 5! 2. 7! 42 3. 9!4! 3!10! 4. 24!19! 22!21! 5. 4! (7 5)! 6. 46! 45!23 7. 9 5!3! 18 2!4!
More informationguessing Bluman, Chapter 5 2
Bluman, Chapter 5 1 guessing Suppose there is multiple choice quiz on a subject you don t know anything about. 15 th Century Russian Literature; Nuclear physics etc. You have to guess on every question.
More informationMath 361. Day 8 Binomial Random Variables pages 27 and 28 Inv Do you have ESP? Inv. 1.3 Tim or Bob?
Math 361 Day 8 Binomial Random Variables pages 27 and 28 Inv. 1.2 - Do you have ESP? Inv. 1.3 Tim or Bob? Inv. 1.1: Friend or Foe Review Is a particular study result consistent with the null model? Learning
More informationUnit 04 Review. Probability Rules
Unit 04 Review Probability Rules A sample space contains all the possible outcomes observed in a trial of an experiment, a survey, or some random phenomenon. The sum of the probabilities for all possible
More informationPROBABILITY DISTRIBUTIONS
CHAPTER 3 PROBABILITY DISTRIBUTIONS Page Contents 3.1 Introduction to Probability Distributions 51 3.2 The Normal Distribution 56 3.3 The Binomial Distribution 60 3.4 The Poisson Distribution 64 Exercise
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Midterm Review Name 1) As part of an economics class project, students were asked to randomly select 500 New York Stock Exchange (NYSE) stocks from the Wall Street Journal. As part of the project, students
More informationCentral Limit Theorem 11/08/2005
Central Limit Theorem 11/08/2005 A More General Central Limit Theorem Theorem. Let X 1, X 2,..., X n,... be a sequence of independent discrete random variables, and let S n = X 1 + X 2 + + X n. For each
More informationMATH 227 CP 6 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
MATH 227 CP 6 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Identify the given random variable as being discrete or continuous. 1) The number of phone
More informationPLEASE MARK YOUR ANSWERS WITH AN X, not a circle!
Name: Version # nstructor: Annette McP Math 020 Exam 3 Nov. 3, 208. The Honor Code is in e ect for this examination. All work is to be your own. Please turn o all cellphones and electronic devices. Calculators
More informationAP Statistics Section 6.1 Day 1 Multiple Choice Practice. a) a random variable. b) a parameter. c) biased. d) a random sample. e) a statistic.
A Statistics Section 6.1 Day 1 ultiple Choice ractice Name: 1. A variable whose value is a numerical outcome of a random phenomenon is called a) a random variable. b) a parameter. c) biased. d) a random
More informationChapter 4. Section 4.1 Objectives. Random Variables. Random Variables. Chapter 4: Probability Distributions
Chapter 4: Probability s 4. Probability s 4. Binomial s Section 4. Objectives Distinguish between discrete random variables and continuous random variables Construct a discrete probability distribution
More informationMath 235 Final Exam Practice test. Name
Math 235 Final Exam Practice test Name Use the Gauss-Jordan method to solve the system of equations. 1) x + y + z = -1 x - y + 3z = -7 4x + y + z = -7 A) (-1, -2, 2) B) (-2, 2, -1) C)(-1, 2, -2) D) No
More informationTest 3 Review. 2. What is the effective rate of interest for money invested at 10% annual interest compounded monthly?
Test 3 Review For questions 1 6, state the type of problem and calculate the answer. 1. Parents of a college student wish to set up an account that will pay $350 per month to the student for four years.
More information7.1: Sets. What is a set? What is the empty set? When are two sets equal? What is set builder notation? What is the universal set?
7.1: Sets What is a set? What is the empty set? When are two sets equal? What is set builder notation? What is the universal set? Example 1: Write the elements belonging to each set. a. {x x is a natural
More informationData Analytics (CS40003) Practice Set IV (Topic: Probability and Sampling Distribution)
Data Analytics (CS40003) Practice Set IV (Topic: Probability and Sampling Distribution) I. Concept Questions 1. Give an example of a random variable in the context of Drawing a card from a deck of cards.
More informationSimple Random Sample
Simple Random Sample A simple random sample (SRS) of size n consists of n elements from the population chosen in such a way that every set of n elements has an equal chance to be the sample actually selected.
More informationName: Show all your work! Mathematical Concepts Joysheet 1 MAT 117, Spring 2012 D. Ivanšić
Mathematical Concepts Joysheet 1 Use your calculator to compute each expression to 6 significant digits accuracy. Write down thesequence of keys youentered inorder to compute each expression. Donot roundnumbers
More informationStat 201: Business Statistics I Additional Exercises on Chapter Chapter 3
Stat 201: Business Statistics I Additional Exercises on Chapter Chapter 3 Student Name: Solve the problem. 1) A sociologist recently conducted a survey of senior citizens who have net worths too high to
More informationDESCRIBING DATA: MESURES OF LOCATION
DESCRIBING DATA: MESURES OF LOCATION A. Measures of Central Tendency Measures of Central Tendency are used to pinpoint the center or average of a data set which can then be used to represent the typical
More informationProblem A Grade x P(x) To get "C" 1 or 2 must be 1 0.05469 B A 2 0.16410 3 0.27340 4 0.27340 5 0.16410 6 0.05470 7 0.00780 0.2188 0.5468 0.2266 Problem B Grade x P(x) To get "C" 1 or 2 must 1 0.31150 be
More informationEcon 6900: Statistical Problems. Instructor: Yogesh Uppal
Econ 6900: Statistical Problems Instructor: Yogesh Uppal Email: yuppal@ysu.edu Lecture Slides 4 Random Variables Probability Distributions Discrete Distributions Discrete Uniform Probability Distribution
More information