To find the variance of a hypergeometric random variable in Example 2.3-4 we used the

Chapter 2, Problem 2.3-10

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QUESTION:

To find the variance of a hypergeometric random variable in Example 2.3-4 we used the fact that E[X(X 1)] = N1(N1 1)(n)(n 1) N(N 1) . Prove this result by making the change of variables k = x 2 and noting that N n = N(N 1) n(n 1) N 2 n 2

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QUESTION:

To find the variance of a hypergeometric random variable in Example 2.3-4 we used the fact that E[X(X 1)] = N1(N1 1)(n)(n 1) N(N 1) . Prove this result by making the change of variables k = x 2 and noting that N n = N(N 1) n(n 1) N 2 n 2

ANSWER:

Step 1 of  4

Given that,

To find the variance of hypergeometric random variable in Example 2.3-4 we used the fact that

It is required to prove this result by making the change of variables  and noting that

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