Question: An investor is considering six different money market funds. The average number of days to maturity for these funds are:

41 39 35 35 33 38

Three of these funds are to be chosen at random.

(a) How many samples of four funds are possible?

(b) List all possible samples.

(c) Find the probability function of the sampling distribution of the sample mean.

(d) Verify that the expectation of the sampling distribution of the sample mean is equal to the population mean (m).