Answer to Question #230199 in Statistics and Probability for Ndz

Question

A manager must decide which two out of two male applicants (Bill and David) and two female applicants (Anne and Cynthia) should receive job offers.

a) What is the random experiment?

b) List all possible outcomes in S.

c) List the outcomes in the following events:

L: Chamari receives an offer.

M: Bandara doesn’t receive an offer.

N: At least one woman receives an offer

Answer 1

a) It can be observed that there are two male applicants and two female applicants. Out of these two genders, only two applicants receive job offers. So, the experiment is that “a manager wants to observe which of two applicants receive job offers out of these four applicants.”

b)

$$S=\{BD, BA, BC,DA, DC, AC \}$$

c)

L:

$$S=\{BC,DC, AC \}$$

M:

$$S=\{DA,DC, AC \}$$

N:

$$S=\{ BA, BC,DA, DC, AC \}$$