Intro to the Binomial Theorem (video) | Khan Academy

Binomial Theorem explained.

3. Binomial Theorem

Obtain the moment generating function of the number of failures, n-X, in a binomial experiment, and use it to determine the expected number of failures and the variance of the number of failures. Are the expected value and variance intuitively consistent with the expressions for E(X) and Var(X) ? Explain. | Numerade

The moment-generating function (MGF) of the exponential distribution

Exam Questions - Binomial expansion for rational and negative powers - ExamSolutions