Tree and Venn Diagrams · Exercise 8

The percent of licensed U.S. drivers (from a recent year) that are women is 48.60. Of the women, 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. men 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 men?
(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 a woman.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §3.5 Tree and Venn Diagrams · Exercise 8