Answer to Question #86839 in Electrical Engineering for Anand

Question

Let X₁,X₂ ,...,Xₙ be a random sample from a Binomial distribution with parameters n and p, both unkown. Obtain estimators of n and p, using method of moments.

Answer 1

Since we know that

we can express and so that they are

On the other hand, we know that sample mean and sample variance are:

hence