The percent of licensed U. S. drivers (from a recent year)

that are female is 48.60. Of the females, 5.03% are age 19 and under; 81.36% are age 20–64; 13.61% are age 65 or over. Of

the licensed U. S. male drivers, 5.04% are age 19 and under; 81.43% are age 20–64; 13.53% are age 65 or over.

Suppose that 10,000 U. S. licensed drivers are randomly selected.

a. How many would you expect to be male?

b. Using the table or tree diagram, construct a contingency table of gender versus age group.

c. Using the contingency table, find the probability that out of the age 20–64 group, a randomly selected driver is

female

Explanation:

The concept applied here is ordinary mathematics from the data given;

Since we are told that there are female is 48.60, hence the number of males will be ; (100 - 48.60)% = 51.40% x 10000 = 5140 are expected to be maleFrom the contigency table as shown in the attached file. each percentage was multiplied by the number, for example = it was said that 13.61% are age 65 or over, hence the number of females under 65 and over = 13.61% x 4860 = 661 females are under 65 and over. To calculate the probability that out of the age 20–64 group, a randomly selected driver is female = Number of females under 20-64/ Total number of females = 3954/8140 = 0.485The steps are as shown in the attachment.

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