he United States Department of Labor Statistics collects data on the occupations of people between the ages of 25 and 64. The following table presents the number of men and women (in millions) in each of the occupational categories. to. What is the probability that a female worker is a manager or a professional? Occupation men women Managerial / professional 19079 19021 Teaching / sales / administrative. 11079 19315 Service 4977 7947 Production with precision 11682 1138 Operators / workers 10576 3482 Agriculture / Livestock / forestry / fishing. 1838 514 b. What is the probability that a male worker is in production with precision? c. Since a woman was randomly selected. What is the probability of working in Service? 2. Suppose two events, A and B, and that P (A) = 0.5, P (B) = 0.6 and P (A n B) = 0.40 to. Find P (A / B) b. Find P (B / A) C. P (ACUBc) d. P (An Bc) and. Are A and B independent events? Why or why not? 3. Suppose two events, A and B, that are mutually exclusive. Also, that P (A) = 0.30 and P (B) = 0.4 to. Find P (An B) b. Find P (A / B) c. Find P (A U B) d. Find P (Ac UB)