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