Question

according to 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 smaples of size 16

Answer 1

`Mean = 3.52`

Explanation:

Given

`Sample\ Size = 16`

`Proportion = 22\%`

Required

Determine the mean of the proportion

The mean or expected value of a sample is calculated by multiplying the sample size by the proportion as follows;

`Mean = n *p`

Where

`n = 16` -- Sample Size

`p = 22\%` -- Proportion

So:

`Mean = n *p` becomes

`Mean = 16 * 22\%`

Convert 22% to decimal

`Mean = 16 * 0.22`

`Mean = 3.52`

Hence, the mean is 3.52