About 8% of the population has a particular genetic mutation. 800 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 800.

Question

About 8% of the population has a particular genetic mutation. 800 people are randomly selected.

Find the standard deviation for the number of people with the genetic mutation in such groups of 800.

Answer 1

Given:

n=800

p=.08

q = 1-p = 1-.08 = .92

The formula for standard deviation is:

σ = (npq)^1/2

σ = (800•0.08•0.92)^1/2

σ ≈7.67