A population consists of three housing units, where the number of rooms in each unit is 1, 3 and

5.

a)If a random sample without replacement of 2 housing units will be picked from the population, what is the sampling distribution of the sample median number of rooms?

b)If a random sample with replacement of 2 housing units will be picked from the population, what is the sampling distribution of the sample mean number of rooms?

c)What is the mean of the sampling distribution of the sample mean number rooms in b)?