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5. (10 pts) In today's companies, HR already pays attention to the health and welfare of their employees .

Annual physical examinations are conducted and paid for by the company to help employees monitor and

address their present or potential physical problems. In the recently conducted APE of 500 employees, 70%

were found to be above the normal recommended weight (they are either obese or overweight). Of the male

population, 45.7% are of normal weight. The gender demographic shows there are 325 female and 175 male.

(a) What is the probability that a randomly selected employee is a male and of normal weight? (4pts)

(b) What is the marginal probability that an employee is female? (2)

(c) What is the probability that a randomly selected employee is female given that she is of normal weight?

(4pts)