1.7 The Binomial Distribution: Mathematically Deriving the Mean and Variance

I derive the mean and variance of the binomial distribution. I do this in two ways.

First, I assume that we know the mean and variance of the Bernoulli distribution, and that a binomial random variable is the sum of n independent Bernoulli random variables. I then take the more difficult approach, where we do not lie on this relationship and derive the mean and variance from scratch.

4 thoughts on “1.7 The Binomial Distribution: Mathematically Deriving the Mean and Variance”

  1. Woah! What a simple and clean explanation. Thanks a lot man!!! Please continue making these awesome tutorials.

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