Consider the following probability distribution: a. Find , 2 and . b. Find the sampling distribution of

Consider the following probability distribution:

a. Find µ, σ2 and σ.
b. Find the sampling distribution of x̅ for random samples of n = 2 measurements from this distribution by listing all possible values of x̅, and find the probability associated with each.
c. Use the result of part b to calculate µx and σx. Confirm that µx = µ and that σx = σ / √n = σ / √2.