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In: Statistics and Probability

Prove that the variance of a random variable with negative binomial distribution (with parameters ? and...

  1. Prove that the variance of a random variable with negative binomial distribution (with parameters ? and ?) is ?(1 − ?)/?^2.

  2. Prove that the variance of a random variable with hypergeometric

    ?−? ? ? distribution (with parameters ?, ?, ?) is (M-n)/(N-1) ?(M/N) (1 − (M/N)) .

3. Prove that the variance of a random variable with uniform distribution (with parameters ? and ?) is ((a-b)^2)/12 .

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