Probability that a person prefers water


The data given:

Problem: Suppose 200 men and 200 women participate in a study and 280 report they prefer plain water. Of the participants preferring a sports drink, 80 were men and 40 were women.

Find the various probabilities under a - f (omit g) below.

a. What is the probability that a person prefers water?

b. What is the probability that a person prefers the sports drinks?

c. Probability of being male given they prefer a sports drink:

Probability of being a female given they prefer a sports drink:

d. Probability of both male and preferring sports drink:

Probability of both female and preferring sports drink:

e. Given that the consumer is a man, what is the probability he prefers sports drinks?

f. Given that the consumer is a woman, what is the probability she prefers sports drinks?

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Basic Statistics: Probability that a person prefers water
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