Question: The probability an employee expects to change jobs voluntarily in the next three years given they are male is 0.20. The probability an employee expects to change jobs voluntarily in the next three years given they are female is 0.40. Suppose half of those surveyed were females.

a) What is the probability a person is female?

b) What is the probability a person male?

c) What is the probability a person is male if they expect to change jobs voluntarily in the next three years?

d) What is the probability of selecting a male who does not expect to change jobs voluntarily?

e) Are changing jobs and being male independent? Why or why not?

f) Are changing jobs and being male mutually exclusive? Why or why not?