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Normal Distribution Approximation of the Binomial Distribution

Author: Katherine Williams
Video Transcript
Terms to Know
Normal Distribution Approximation of the Binomial Distribution

If a random variable has a binomial distribution, the number of trials is sufficiently large, and the probability of success is not too close to 0 or 1, the variable's distribution can be approximately modeled using a normal distribution.

Formulas to Know
Center of a Binomial Distribution

mu subscript x space equals space n p

Mean of a Binomial Distribution

mu subscript x space equals space n p

Spread of a Binomial Distribution

sigma subscript x space equals space square root of n p q end root

Standard Deviation of a Binomial Distribution

sigma subscript x space equals space square root of n p q end root

Variance of a Binomial Distribution

sigma subscript x superscript 2 space equals space n p q