Question

About 8% of the population has a particular genetic mutation. 500 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 500

Answer 1

Answer:

6.07 people

Step-by-step explanation:

The proportion of people 'p' with the genetic mutation in the population is 0.08. For a sample size of n = 500 people, the standard deviation for the sample is determined by:

$s=\sqrt{n*p*(1-p)} \\s=\sqrt{500*0.08*(1-0.08)} \\s=6.07\ people$

The standard deviation for people with the mutation in the sample is 6.07 people.