SOLUTION: About 10% of the population has a particular genetic mutation. 300 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation i

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Question 1196869: About 10% of the population has a particular genetic mutation. 300 people are randomly selected.
Find the standard deviation for the number of people with the genetic mutation in such groups of 300.

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let X be a random variable denoting the number of people having genetic mutation 

out of 300 people. X follows Binomial Distribution with parameters n = 300 and p = 0.03


The standard deviation of X is:

    sqrt%28n%2Ap%2A%281-p%29%29 = sqrt%28300%2A0.1%2A%281-0.1%29%29 = 5.1962  (rounded).    ANSWER

Solved.