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?