A large-scale firm specializing in providing temporary secretarial services to corporate clients has completed a study of the main reason why secretaries become dissatisfied with their work assignments, and how likely it is that a dissatisfied secretary will quit her job. It was found that 20 percent of all secretaries were dissatisfied with some aspect of their job assignment. Of all dissatisfied secretaries, it was found that 55 percent were dissatisfied mainly because they disliked their supervisor; 30 percent were dissatisfied mainly because they felt they were not paid enough; 10 percent were dissatisfied mainly because they disliked the type of work; and 5 percent were dissatisfied mainly because they had conflicts with other employees. The probabilities that the dissatisfied secretaries would quit their jobs were respectively \(.20, .30, .90\), and .05 .

a. Given that a dissatisfied secretary quits her job, what is the most probable main reason why she was dissatisfied with her job assignment?

b. If a secretary were chosen at random, what is the probability that she would be dissatisfied, mainly because of her pay?

c. Given that a secretary is dissatisfied with her job assignment, what is the probability that she will quit?