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Question 4

40pts

1. There are 30 workers who are eligible to be on a committee in a large firm, which will make recommendations with respect to human resources issues. 12 of the eligible workers are men, and 18 of them are women.A committee of 10 is formed.A news source raises the issue of gender discrimination, alleging that the committee was not chosen randomly with respect to gender.Of course, management says the committee was formed randomly.

a.Define X = number of committee members who are men.X is arandom variable.WRITE A, B, C, D OR E (one letter).

b.A committee of 10 is formed.If the committee really were chosen randomly, what is the probability that6 or moreof the committee of 10 are men?.WRITE A, B, C, D, E, OR F (one letter).

c.Suppose insteadthat a committee of 15 is formed.What is the probability that6 or moreof the committee of 15 are men?.WRITE A, B, C, D, E, OR F (one letter).

d.Suppose insteadthat a committee of 25 is formed.What is the probability that6 or moreof the committee of 25 are men?.WRITE A, B, C, D, E, OR F (one letter).