Question

About 9% of the population has a particular genetic mutation. 600 people are randomly selected.

Find the standard deviation for the number of people with the genetic mutation in such groups of 600.

Answer 1

Answer:

The mean for all such groups randomly selected is 0.09*800=72.

Step-by-step explanation:

Answer 2

The value of the standard deviation is 7.

What is the standard deviation?

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

The standard deviation is calculated by using the formula,

$\sigma = \sqrt{Npq}$

N = 600

p = 9%= 0.09

q = 1 - p= 1 - 0.09= 0.91

Put the values in the formulas.

$\sigma = \sqrt{Npq}$

$\sigma = \sqrt{600 \times 0.09\times 0.91}$

$\sigma$ = 7

Therefore, the value of the standard deviation is 7.

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