Men have a reputation for not wanting to ask for directions. A Harris study conducted for Lincoln Mercury indicated that 42% of men and 61% of women would stop and ask for directions. The U.S. Census Bureau’s 2007 population estimate was that for individuals 18 or over, 48.2% were men and 51.8% were women. This exercise addresses this age group.
a. A randomly chosen driver gets lost on a road trip. Determine the probability that the driver is a woman and stops to ask for directions.
b. Calculate the probability that the driver stops to ask for directions.
c. Given that a driver stops to ask for directions, determine the probability that the driver was a man.