Binomial distribution

PrepNuggets

Number of successes of a Bernoulli random variable. Assumptions: probability of success is constant for all trials, and trials are independent.

p(x) = P(X=x) = nCxpx(1-p)n-x

E(X) = np

Var(X) = np(1-p)

p: probability of success

n: number of trials

X: number of successes