29 Consider the following probability distribution:

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 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.

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x 1 2 p(x) .1 .4 34 8 .1