Tree and Venn Diagrams · Exercise 8

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.

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.

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

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