Answer:
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.
