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2. Suppose that patrons of a restaurant were asked whether they preferred water or soda. 70%...

2. Suppose that patrons of a restaurant were asked whether they preferred water or soda. 70% said that they preferred water. 60% of the patrons were male. 60% of the males preferred water. a. Construct a contingency table. b. What is the probability a randomly selected patron is a male who prefers water? c. Given a randomly selected patron prefers water, what is the probability that the patron is a male

Math   Statistics-And-Probability   
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Answer #1

Let us denote the events

A : a randomly selected patron prefer water

B : a randomly selected patron is male

Given

A contingency table will be -

Prefer water Do no prefer water Marginal total
Male 0.36 0.24 0.6
Not Male 0.34 0.06 0.4
Marginal Total 0.7 0.3 1

b) The probability a randomly selected patron is a male who prefers water

c) Given a randomly selected patron prefers water, the probability that the patron is a male is

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