Refer to Exercise 65. Construct a joint probability table for the situation described there. Use the table to compute the probability that

In Exercise 65

Two newly hired employees at Gordian Yacht, a luxury boat manufacturer, are beginning their probationary period on the job. Their supervisor assesses a .6 probability that employee A will make it through the probationary period successfully, and a probability of .8 that employee B will make it through successfully. She also believes there is a .5 probability that both employees will make it through successfully.

a. At least one employee is successful.

b. Exactly one employee is successful.

c. Employee B will succeed given that employee A does not.

d. Employee A does not succeed given that employee B does not.