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
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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