A case of wine has 12 bottles, 3 of which contain spoiled wine. A sample of 4 bottles is randomly selected from the case. a. Find the probability distribution for x, the number of bottles of spoiled wine in the sample. b. What are the mean and variance of x?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A case of wine has 12 bottles, 3 of which contain spoiled wine. A sample of 4
bottles is randomly selected from the case.
a. Find the probability distribution for x, the number of bottles of spoiled wine
in the sample.
b. What are the mean and variance of x?

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