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A company sells two types of soda, regular and diet. In trying to learn about customer preferences, a survey gathers responses from 950 people, with

A company sells two types of soda, regular and diet. In trying to learn about customer preferences, a survey gathers responses from 950 people, with the results in the following table. For example, 400 people of the respondents are male, and of these, 50 prefer the diet brand. Using these counts to estimate probabilities for the whole population, which of the following is true (to the nearest three decimals)?

Prefers regular Prefers diet Doesn't drink either
Male 250 50 100
Female 150 250 150
a. The probability that you are female, given that you prefer regular or diet (i.e., given that you aren't a non-drinker), is 0.571.
b. The probability that you don't prefer regular, given that you are female, is 0.125.
c. The probability that you are male, given that you don't prefer diet, is 0.462.

d. The probability that you don't prefer diet, given that you are male, is 0.273.

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