The following data give the years of teaching experience for all five faculty members of a department at a university.
a. Let x denote the years of teaching experience for a faculty member of this department. Write the population distribution of x.
b. List all the possible samples of size three (without replacement) that can be selected from this population. Calculate the mean for each of these samples. Write the sampling distribution of 
c. Calculate the mean for the population data. Select one random sample of size three and calculate the sample mean . Compute the sampling error.

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