Answer: The mean for the random variable X is 3.52.
Step-by-step explanation:
For X be any random variable and p be the population proportion , then the mean of random variable X is given by :-
[tex]\mu =np[/tex] , 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
[tex]\mu =(16)(0.22)=3.52[/tex]
Therefore , the mean for the random variable X is 3.52.
