Consider the following probability distribution:

x 3 4 6 9 p1x2 .3 .1 .5 .1

a. Find m, s2, and s.

b. Find the sampling distribution of x for random samples of n = 2 measurements from this distribution by listing LO6 all possible values of x, and find the probability associated with each.

c. Use the results of part b to calculate mx and sx. Confirm that mx = m and that sx = s>1n = s>12.