The standard deviation = 6.7505 to three decimal places with the genetic mutation.
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
The formula for determining standard deviation is
Standard deviation = [tex]\sqrt{npq}[/tex]
Where,
n represents the size of the sample.
p represents probability of success
q represents probability of failure
About 7% of the population has a particular genetic mutation.
This means that the probability of success, p would be
p = 7/100 = 0.07
The probability of failure, q would be
q = 1 - p = 1 - 0.07
q = 0.93
n = 700
Therefore,
Standard deviation = [tex]\sqrt{700*0.07*0.93}[/tex]
= [tex]\sqrt{45.57}[/tex]
= 6.7505
Therefore,
The standard deviation = 6.7505 to three decimal places with the genetic mutation.
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