At a large midwestern college, 4% of the students are hispanic. a random sample of 20 students from the college is selected. let x denote the number of hispanics among them. the standard deviation of x is:

Respuesta :

Binomial distribution is used 
Standard deviation = [tex] \sqrt{n*p*q} [/tex]
where
[tex]n=20[/tex] 
[tex]p=4[/tex]% [tex]=0.04[/tex] 
[tex]q = 1 - p = 1 - 0.04 = 0.96 [/tex]

Standard deviation = [tex] \sqrt{(20*0.04*0.96) } [/tex]
[tex] \sqrt{0.768} \\ =0.876[/tex]

Therefore
The answer is
[tex]0.876[/tex]