Question

What are the mean and standard deviation of a binomial probability distribution with `n=100` and `p=8/10`?

Answer 1

The Binomial Distribution B(n,P) is given by:
`P(X=k) = ((n),(k)) p^k (1-p)^(n-k)`

with `mu_(""_(X)) = np = 100*8/10 = 80`

`sigma_(""_(X))^2 = np(1-p) = 100(8/10)(2/10) = 16`