Let X have a binomial distribution with parameters n and p, and let the conditional distribution

Question

Clarissa Barr · Accepted Answer

First, we know that the variance of a Poisson distribution with mean λ is also λ. In this case,

Let X have a binomial distribution with parameters n and p, and let the conditional distribution of Y given X = x be Poisson with mean x. What is the variance of Y? Possible Answers A x B np C np(1 - p) D np^2 E np(2 - p)