Question: 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%

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.

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a Step 1 Define events of interest LetE 1 the driver is a woman E 2 the driver stops to askfor directions Step2 Determine the probability of each event PE 1 0518 P 10518 0482 PE 2 E 1 061 Step3 Assess the joint probability PE 1 and E 2 PE 2 E 1 PE 1 0610518 0316 b Step 1 as in part a Step2 Determine the probability of each event PE 1 0518 P 10518 0482 PE 2 E 1 061PE 2 NotE 1 042 Step3 Determine if the two events are mutually exclusive Calculate the jointprobabilities If the driver is a woman and stops to ask ... View full answer

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