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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. Round your answer to two decimal places.

Sagot :

MrRoyal

The standard deviation for the number of people with the genetic mutation is 3.77

How to determine the standard deviation?

The given parameters are:

Sample size, n = 300

Proportion that has the particular genetic mutation, p = 5%

The standard deviation for the number of people with the genetic mutation is calculated as:

Standard deviation = √np(1 - p)

Substitute the known values in the above equation

Standard deviation = √300 * 5% * (1 - 5%)

Evaluate the product

Standard deviation = √14.25

Evaluate the exponent

Standard deviation = 3.77

Hence, the standard deviation for the number of people with the genetic mutation is 3.77

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