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Binomial Distribution MGF, Mean & Variance by nkm2105044 is a document available to read on EtoBox.

What is Binomial Distribution MGF, Mean & Variance about?

The document provides the moment generating function (MGF) for a Binomial random variable X ∼ Binomial(n, p), which is MX(t) = [(1 − p) + pet]^n. It also outlines the formulas for the mean (E[X] = np) and variance (Var(X) = np(1 − p)) of the binomial distribution. Additionally, it notes that when n = 1, the binomial distribution simplifies to the Bernoulli distribution.

Author

nkm2105044

Language

EN