Consider the 912 people to be a population. Let X be the number of times per week a person dines out for a person sampled at random from this population. Compute the mean.

x`= ∑x P (x)  

Step-by-step explanation:

The mean ca be calculated using the formula

x`= ∑x P (x)   where x takes the value from 1,2,3,4i

The sampling distribution is the probability distribution or the relative frequency distribution of the means X` of all possible random samples of the sample size that could be selected from a given population. The mean of this distribution is represented by Ux` and the standard deviation which is called the standard error of the mean S.E (X`)

The mean of the sampling distribution is equal to the population mean that is ux`= u whether the sampling is done with or without replacement.