# MSU STT 231 - Spring 2016 (YELLOW) (5 pages)

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# Spring 2016 (YELLOW)

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## Spring 2016 (YELLOW)

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Pages:
5
School:
Michigan State University
Course:
Stt 231 - Statistics for Scientists
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STT 231 Test 3 YELLOW Give your answer in the scantron provided Each question is worth 2 points 1 The city council has 6 men and 3 women If we randomly choose two of them to co chair a committee what is the probability these chairpersons are the same gender A 1 2 B 4 9 C 5 8 D 7 8 E 5 9 2 Which of these random variables has a binomial model A The number of aces in a well shuffled deck B The number of black cards in a well shuffled deck C The number of Democrats among a group of 20 randomly chosen adults D The number of cars inspected until we find three with bad mufflers E The number of people we check until we find someone with green eyes 3 An ice cream stand reports that 12 of the cones they sell are jumbo size You want to see what a jumbo cone looks like so you stand and watch the sales for a while What is the probability that there is exactly 1 jumbo among the first 6 cones sold by the ice cream stand A 12 B 54 C 6 D 38 E 84 4 In a box there are 10 red balls and 10 green balls You select three balls without replacement To calculate the probability of getting at least two red balls we can use the hypergeometric model A True B False 5 Which of the following is true in a binomial distribution A Each outcome is dependent on the previous outcome B There are only two outcomes in each trial C The probability of success changes from trial to trial D The outcome of a trial depends on the number of trials E Both A and C are true 6 A new medicine has an 85 success rate Twenty patients are treated with it What is the probability that exactly eighteen are cured with this new medicine A 0 054 B 0 7707 C 0 2293 D 0 0012 E none of these numbers 7 We select a jury of 12 from 15 potential jurors 9 women and 6 men What is the probability of having 7 women in this jury A 0 00131 B 0 99869 C 0 4747 D 1 E 0 5 8 A new medicine has an 85 success rate Five patients are treated with it Each patient s conditions improves worsens independent of the other patients You want to compute the

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