Question

Derivation of expectation of binomial distribution

Answer 1

Answer:

E[ X ] = (np) (p +(1 – p))n – 1 = np. The above argument has taken us a long way. From beginning only with the definition of expected value and probability mass function for a binomial distribution, we have proved that what our intuition told us. The expected value of the binomial distribution B( n, p) is np.