Answer: 7.94
Step-by-step explanation:
The formula to calculate the standard deviation for binomial distribution :-
[tex]\sigma=\sqrt{np(1-p)}[/tex], where n is the number total of trials and p is the probability of getting success in each trial.
Given : The probability of the population has a particular genetic mutation=0.1
If 700 people are randomly selected, then the standard deviation for the number of people with the genetic mutation in such groups of 700 will be :-
[tex]\sigma=\sqrt{700\times0.1(1-0.1)}\\\\\Rightarrow\sigma=\sqrt{63}\\\\\Rightarrow\sigma=7.9372539331\approx7.94[/tex]
Hence, the standard deviation for the number of people with the genetic mutation in such groups of 700 = 7.94
