Question

In: Statistics and Probability

The qualified applicant pool for five management trainee positions consists of six women and five men....

The qualified applicant pool for five management trainee positions consists of six women and five men.

(a) How many different groups of applicants can be selected for the positions?

(b) How many different groups of trainees would consist entirely of women?

(c) Probability extension: If the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of five are equally likely, what is the probability that the trainee class will consist entirely of women? (Round your answer to four decimal places.)

Expert Solution

Answer:

Given that:

The qualified applicant pool for five management trainee positions consists of six women and five men.

(a) How many different groups of applicants can be selected for the positions?

Total ways of selecting 5 out of 11(6 women and 5 men) = ¹¹C₅

(b) How many different groups of trainees would consist entirely of women?

The number of way the group consist of women is 6 =⁶C₅

c) Probability extension: If the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of five are equally likely, what is the probability that the trainee class will consist entirely of women?

The probability that the trainee class will consist of women is

= ⁶C₅*⁶C₀/¹¹C₅

orchestra answered 1 year ago

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