Let A and B be events. Now assume that P (A) > 0 and P (B) > 0.

Is it possible for A and B to be both independent and mutually exclusive?

Explain.

Exercises 59–62 refer to the following situation:
A medical test is available to determine whether a patient has a certain disease. To determine the accuracy of the test, a total of 10,100 people are tested. Only 100 of these people have the disease, while the other 10,000 are disease free. Of the disease-free people, 9800 get a negative result, and 200 get a positive result.
The 100 people with the disease all get positive results.