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

Answer:

$Mean = 3.52$

Step-by-step 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