The mean number of people with the genetic mutation in these groups is 80 as this follows a Binomial Distribution.
It is given that 10% of the population has a genetic mutation. We have a sample of 800 here.
Let X be the random variable that defines the number of people with the mutation in the sample.
Since every person can or can't have the mutation, this is a Binomial distribution.
Here,
n = 800
p = 0.1
According to the formula for a Binomial Distribution,
the mean = np
Therefore, the mean for the above distribution will be
800 X 0.1
= 80.
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