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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.
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