According to a college survey, 22% of all students work full time. Find the mean for the random variable X, the number of students who work full time in samples of size 16.

Question

asked Apr 25, 2021 220k views

1 Answer

Jwpol · Answer 1 · 2021-04-29T01:19:25+0000

Answer: The mean for the random variable X is 3.52.

Explanation:

For X be any random variable and p be the population proportion , then the mean of random variable X is given by :-

$\mu =np$ , where n= Sample size.

As per given , we have

n= 16

Let X be the random variable that denotes the number of students who work full time in samples of size 16.

p= 0.22

Then, the mean for the random variable X would be

$\mu =(16)(0.22)=3.52$

Therefore , the mean for the random variable X is 3.52.