The variance of a binomial distribution for which n = 100 and p = 0.20 is:

Solution:

The binomial distribution is the probability distribution of a binomial random variable.

A random variable is a real-valued function whose domain is the sample space of a random experiment.

Given, n = 100

p = 0.20

We have to find the variance of the binomial distribution.

The variance of the binomial distribution can be found by using the formula,

VAR (X) = n p ( 1 - p)

Substituting the values

Now,VAR (X) =(100)(0.20)(0.80)

VAR (X) = 16

Therefore, the variance is 16.

The variance of a binomial distribution for which n = 100 and p = 0.20 is:

Summary:

The variance of the binomial distribution for which n = 100 and p = 0.20 is 16.