"About 4% of the population has a particular genetic mutation. 700 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 700. Round your answer to three decimal places"

Step-by-step explanation:

The formula for determining standard deviation is

Standard deviation = √npq

Where

n represents the size of the sample.

p represents probability of success

q represents probability of failure

About 4% of the population has a particular genetic mutation. This means that the probability of success, p would be

p = 4/100 = 0.04

The probability of failure, q would be

q = 1 - p = 1 - 0.04

q = 0.96

n = 700

Therefore,

Standard deviation = √700 × 0.04 × 0.96

= √26.88

Standard deviation = 5.185 to three decimal places.

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step-by-step explanation: