About 10% of the population has a particular genetic mutation. 1000 people are randomly selected. Find the standard deviation for the number of people with genetic mutation in such groups of 1000.
This is binomial distribution. We can find standard deviation using formula.
SD =sqrt(n*p*q)
Where n=1000
p= 10%= 10/100 =0.10
q=1-p = 1-0.10 =0.90
Plug in these values into the formula.
SD = sqrt(1000*0.10 *0.90)
=Sqrt(90)
Answer is sqrt(90).