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 2012 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 randomly chosen driver gets lost on a road trip. Determine the probability that the driver is a woman and stops to ask for directions.

Question

Mathematics

Jenny Bishop

7 September, 19:19

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 2012 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 randomly chosen driver gets lost on a road trip. Determine the probability that the driver is a woman and stops to ask for directions.

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Answers (1)

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Tilly · Answer 1

0.316

Step-by-step explanation:

Defining

p (A) : probability that the driver is a woman = 0.518

p (B) : probability that a woman stops to ask for directions = 0.61

Then, the probability that the driver is a woman and stops to ask for directions is

p (A) * p (B) = 0.518*0.61 = 0.316