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Statistics - Practice Set 2

# Statistics - Practice Set 2 - Multiple choice set 2 INFO...

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Multiple choice set 2 INFO: practice multiple choice questions related to chapters 3, 4, 5 and assignment 3. Q 1. A factory employs several thousand workers, of whom 30% are from non-English speaking background. If 15 members of the union executive committee were chosen from the workers at random, evaluate the probability that exactly 3 members of the committee are non-English background people. (a) 0.17 (b) 0.83 (c) 0.98 (d) 0.51 (e) none of the preceding Solution to Q1: Y - number with non-English background. Y B (15 , 0 . 3), to compute P ( Y = 3) = 0 . 17 Q 2. On average, one person in a hundred will carry a certain mutant gene. 60 people are tested. What is the probability that 5 or more of these people will be found to carry the gene? (choose the closest answer) The MINITAB output will help you to solve this problem: Binomial with n = 60 and p = 0.01 x P( X = x ) 0 0.547157 1 0.331610 2 0.098813 3 0.019297 4 0.002778 Solution to Q2: success= a person carries the gene, thus P (success) = p = 0 . 01. If X - number of person which carry the gene; X ∼ B (60 , 0 . 01). To compute:

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Statistics - Practice Set 2 - Multiple choice set 2 INFO...

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