Test - Sections 11-13

Transcription

1 Test - Sections 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: Total medical bills for the $400 $650 $1,100 $1,800 $4,000 year Probability You must choose 1 of 3 plans by calculating the expected value of each plan and choosing the lowest EV: with the Plan : $60 per month premium, $500 annual deductible; you pay 20% of costs more than $500 Plan : $50 per month premium, $800 annual deductible; you pay 15% of costs more than $800 Plan : $80 per month premium, $0 deductible; you pay 25% of costs What is the Expected Value for Plan? $1,257 $1,287 $1,319 $1,349 2 Questions 2-6 use the information above 5 Which Plan has the highest Expected Value? If medical expenses for the year are $1,100, how much would a person who picked plan pay out of their pocket (include the insurance premium)? HINT - you should have already calculated this to get EV. Plan Plan Plan n/a 6 Which Plan has the lowest Expected Value? $1,340 $1,395 $1,465 $1,500 Plan Plan Plan n/a 3 What is the Expected Value for Plan? $1,232 $1,256 $1,310 $1,325 4 What is the Expected Value for Plan? $1,261 $1,291 $1,171 $1,151 7 Probability based on results of an experiment is called probability. theoretical experimental binomial independent 8 Two events that cannot both occur at the same time are events. theoretical experimental independent mutually exclusive

2 Find the value (may use the functions on your calculator) and these too 10 12! 479,001, ,003, ,500,800 6,227,020, red and 25 green 25 red and 15 green 39 red and 1 green 20 red and 20 green 14 coin is tossed and a die is rolled. What is the probability that the coin shows heads and the die shows an even number? 11 7P Eight people are entered in a race. If there are no ties, in how many ways can the first tthree places come out? fter the introduction of a new soft drink, a taste test is conducted to see how it is being received. Of those who participated, 72 said they preferred the new soft drink, 80 preferred the old soft drink, and 48 could not tell any difference. What is the probability that a person in this survey, chosen at random, preferred the new soft drink? 13 bag has 5 red blocks and 3 green blocks. Sonya takes a block out of the bag at random, records the color, then replaces the block in the bag. She does this 40 times. Which answer shows the results she is most likely to have? Each section of the spinner shown below has the same area. The spinner was spun 32 times. The results are shown in the table. 16 For which color is the experimental probability of stopping on the color the same as the theoretical probability? Red Green lue Yellow

3 17 In a class of 25 students, 7 have brown eyes. If two students are chosen at random, which expression will calculate the probability that both have brown eyes? 19 drawer contains 10 red socks, 4 white socks, and 6 blue socks. Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the first sock and the second sock are both white? 18 Your teacher is randomly picking two students to present a project to the class. If there are 28 students in your class, what is an expression for the probability that you and your best friend will be selected together? 20 large company rates its employees every six months as either satisfactory or unsatisfactory. Employees who had any kind of previous work experience are more likely to be rated as satisfactory than employees without previous work experience. The percents of experienced and inexperienced workers and their breakdown into satisfactory and unsatisfactory ratings are shown in the diagram below. What is the probability that a randomly selected employee will be one who had previous work experience and is rated unsatisfactory? Round your answer to the nearest whole percent. 9% 4% 5% 77% 21 ceramic jar contains 24 quarters and 15 nickels. If two coins are randomly drawn in succession, without replacement, what is the probability that the total value of the coins is $0.10?

4 22 bag contains 6 green marbles and 3 blue marbles. What is the probability of drawing a blue marble, then another blue marble, then a green marble, replacing the marble after each draw? 27 If the probability of rain is 40%, what are the odds that it will rain? 23 Two cards are randomly selected from a standard 52-card deck. What is the probability of getting 2 hearts or 2 numbers less than 10 (count aces as 1)? The sections on a spinner are numbered from 1 through 8. If the probability of landing on a given section is the same for all the sections, what is the probability of spinning a number less than 4 or greater than 7 in a single spin? 28 If the odds that a person will not become ill with the flu are 6 to 11, what are the odds that the person will become ill with the flu? 25 If the odds in favor of a horse winning a race are 2 to 5, what are the odds against the horse winning the race? 3 to 5 5 to 2 2 to 7 7 to 5 26 tile is randomly drawn from a bag containing fifty tiles numbered 1 through 50. Find the probability that a two-digit number is drawn. 29 If the probability that a package of produce from a certain company has pesticide residue is 0.3, what is the probability that three randomly chosen packages all have pesticide residue? If the probability that an article is accepted for printing in a certain journal is 25%, what is the probability that neither of the next two articles will be accepted?

5 31 bag contains 8 red, 7 blue, and 5 yellow marbles. marble is drawn randomly from the bag. It is not replaced, and a second marble is drawn. What is the probability of drawing two red marbles? 32 coin purse contains 5 dimes, 3 nickels, and 4 pennies. If 3 coins are selected randomly, what is the probability of selecting a dime, then a penny, followed by a dime, if the coins are not replaced? 33 The probabilities of a randomly selected blood sample in a certain blood center being type O, type, type, or type are 0.45, 0.40, 0.10, and 0.05, respectively. What is the probability that a sample is either type or type O?