SOLUTION: About 3% 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

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Question 1118896: About 3% 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 addingup(3677) About Me  (Show Source):
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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(n*p*(1-p)) = sqrt(300*0.03*(1-0.03)) = 8.73 = sqrt 8.73 = 2.955