Answer:
e. 9.51
Step-by-step explanation:
The variance of n binomial probability trials, with p probability, is given by the following formula:
[tex]Var(X) = \sqrt{n*p*(1-p)}[/tex]
In this problem, we have that:
[tex]n = 800, p = 0.87[/tex]
So:
[tex]Var(X) = \sqrt{n*p*(1-p)} = \sqrt{800*0.87*0.13} = 9.51[/tex]
The correct answer is:
e. 9.51