Asked Nov 26, 2019

find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p

n=124, p=0.66


Expert Answer

Step 1

A binomial distribution can be used when the outcomes of certain variables can be divided into two categories: success and failure. The outcomes should be independent of each other.

The mean of a binomial distribution is:


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Mean np

Step 2

The standard deviation of a binomial distribution is,


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Standard deviation = Nnp(1-p)

Step 3

Here, n denotes the fixed number of trails, p denotes the probability of success.

Given:  n = 124, p=...


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Mean= nx p 124 x 0.66 =81.84 Standard deviation{np(1- p) =24 x0.66x (1-0.66) =5.275


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