Question

Choose an employee person at random. Let A be the event that the person is a female and B be the event that the person holds a managerial position. Data from the US department of labor suggests that P(A)= 0.47 and P(B|A)= 0.34.

Perform the following:

A) explain what P(A)= 0.47 means in context
B) explain what P(B|A)= 0.34 means in context
C) what is the probability that a randomly chosen employed person is a male?
D) what is the probability that a randomly chosen employed person is a female manager?
E) what is the probability that a randomly chosen employed female is not a manager?

Answer 1

A = person is female
B = person holds a managerial position

A) explain what P(A)= 0.47 means in context = of the population, 47% is composed of females.

B) explain what P(B|A)= 0.34 means in context  = 34% is the probability that the person chosen is a female manager

C) what is the probability that a randomly chosen employed person is a male?  53%
D) what is the probability that a randomly chosen employed person is a female manager? 34% 
E) what is the probability that a randomly chosen employed female is not a manager? 72%