A 1995 study by the School of Public Health reported that 88

A 1995 study by the School of Public Health reported that 88% of male students who live in a fraternity house are binge drinkers. The figure fa fraternity members who are not residents of a fraternity house is 73%,, while the figure for men who do not belong to a fraternity is 43%. Suppose that 11% of U.S male students live in a fraternity house. 18% belong to a fraternity but do not live in a fraternity house, and 71% do not belong to a fraternity a. What is the probability that a randomly selected male student is a binge drinker? b. If a randomly selected male student is a binge drinker, what is the probability that he lives in a fraternity house? The probability that a randomly selected male student is a binge drinker is [ ].

Solution

probability that ramdomly selected male student is a binge drinker

= 88% * 11% + 73% * 18% + 43% * 71%

= 53.35% or 0.5335 or 0.53