Given that x is a hypergeometric random variable with N = 8, n = 4, and r = 3, compute the variance of x.
A) .538
B) .469
C) .700
D) .732

Name: Given that x is a hypergeometric random variable with N = 8, n = 4, and r = 3, compute the variance of x. A) .538 B) .469 C) .700 D) .732
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Question

Quizplus · Accepted Answer

The variance of a hypergeometric random variable is given by:Var(X) = (N-n) * n * r * (N-r) / (N^2 * (N-1))Plugging in the given values, we get:Var(X) = (8-4) * 4 * 3 * (8-3) / (8^2 * (8-1)) = .538

Given That X Is a Hypergeometric Random Variable with N