A small town has 8500 adult males and 5500 adult females. A sociologist conducted a survey and found that 40% of the males and 30% of the females drink heavily. An adult is selected at random from the town. What is the probability, rounded to four decimal places, that the person drinks heavily DH?

Question

A small town has 8500 adult males and 5500 adult females. A sociologist conducted a survey and found that 40% of the males and 30% of the females drink heavily. An adult is selected at random from the town. What is the probability, rounded to four decimal places, that the person drinks heavily DH? ​

Quizplus · Accepted Answer

The probability that a randomly selected adult is male is 8500 / (8500 + 5500) = 0.6071. The probability that a randomly selected adult is female is 5500 / (8500 + 5500) = 0.3929. The probability that a randomly selected male drinks heavily is 0.40. The probability that a randomly selected female drinks heavily is 0.30. The probability that a randomly selected adult drinks heavily is (0.6071 * 0.40) + (0.3929 * 0.30) = 0.3607.

A Small Town Has 8500 Adult Males and 5500 Adult