Question

About 5% 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. Incorrect

Answer 1

Solution:

Given:

p = probability of  the population has a particular genetic mutation

p = 5%

p = 0.05

n = Number of people randomly selected

n = 300

x = Number of people   has a particular genetic mutation follows a Binomial distribution with parameters n = 300 and p = 0.05.

Since outcome of the each people can either "has a particular genetic mutation" or "does not have a particular genetic mutation" and number of trials are fixed and independent.

We have to find standard deviation of the number of people with the genetic mutation in such groups of 300.

It is given by formula:

_{( Round final answer to specified number of decimal places)}