[EX04-136] The Federal Highway Administration periodically tracks the number of licensed vehicle drivers by gender and by age. The following table shows the results of the administration’s findings in 2002.

Age Group (years) Male Female 19 and under 4,772,152 4,526,106 20–24 8,424,540 8,115,247 25–29 8,727,305 8,372,379 30–34 9,737,052 9,378,312 35–39 10,189,184 9,936,933 40–44 10,614,344 10,584,498 45–49 9,941,582 9,997,864 50–54 8,735,627 8,788,501 55–59 7,148,429 7,141,534 60–64 5,371,340 5,377,859 65–69 4,253,857 4,284,304 70–74 3,647,137 3,788,721 75–79 2,936,969 3,173,171 80–84 1,849,298 2,079,929 85 and older 1,112,647 1,288,812 Total 97,461,463 96,834,170 Source: U.S. Department of Transportation, Federal Highway Administration, Highway Statistics 2002 Suppose you encountered a driver of a vehicle at random. Find the probabilities of the following events:

a. The driver is a male and older than age 59.

b. The driver is a female or younger than age 30.

c. The driver is younger than age 25.

d. The driver is a female.

e. The driver is a male between the ages of 35 and 49.

f. The driver is older than age 69.

g. The driver is a female, given driver is between the ages of 25 and 44.

h. The driver is between the ages of 25 and 44, given the driver is female.