given a binomial variable with a mean of 40 and a variance of 25, find nand p?

Question

no furthur

Answer 1

For a binomial distribution μ = np and σ = √np(1-p), meaning σ² = np(1-p).

σ²/μ = np(1-p)/np = 25/40 = 1-p =  0.625, so p = 0.375. n = np/p = 40/0.375 = 106.6667