3.5 Exercise 30

Use the following information to answer the next two exercises. The percent of licensed U.S. drivers (from a recent year) who are female is 48.60. Of the females, 5.03 percent are age 19 and under; 81.36 percent are age 20–64; 13.61 percent are age 65 or over. Of the licensed U.S. male drivers, 5.04 percent are age 19 and under; 81.43 percent are age 20–64; 13.53 percent are age 65 or over.

Complete the following:

1. Construct a table or a tree diagram of the situation.
2. Find P(driver is female).
3. Find P(driver is age 65 or over|driver is female).
4. Find P(driver is age 65 or over AND female).
5. In words, explain the difference between the probabilities in Part c and Part d.
6. Find P(driver is age 65 or over).
7. Are being age 65 or over and being female mutually exclusive events? How do you know?