Answer: e) 16.17
Step-by-step explanation:
In Binomial distribution ,
The formula to find the standard deviation is given by :-
[tex]\sigma=\sqrt{np(1-p)}[/tex] , where p= population proportion.
n= sample size.
Given : The proportion of mice that consumed a certain poison will die from it : p= 81% =0.81
The sample size = n= 1700
Then, the standard deviation of the number of mice that will die from it is given by :-
[tex]\sigma=\sqrt{1700(0.81)(1-0.81)}[/tex]
[tex]\sigma=\sqrt{1700(0.81)(0.19)}[/tex]
[tex]\sigma=\sqrt{261.63}=16.1749806801\approx16.17[/tex]
Hence, the standard deviation of the number of mice that will die from it= 16.17
