Question

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:

Answer 1

Binomial distribution is used
Standard deviation =
`√(n*p*q)`
where

`n=20`

`p=4`%
`=0.04`

`q = 1 - p = 1 - 0.04 = 0.96`

Standard deviation =
`√((20*0.04*0.96) )`

`√(0.768) \\ =0.876`

Therefore
The answer is

`0.876`