Suppose we observe an iid sample X1, X2, ...,X1] from a gamma distribution with the proba- bility density function given by 1 \"(1)5\" And also, E(x) = oe and V(a:) = 01,32 (a) (6 total points) What are the expectation and variance of the sample mean? Prove your results. m) = [ 3018356] for l} 0,5 > 0 (b) (4 total points) What is a sampling distribution? (c) (4 total points) What is the Central Limit Theorem? Be specic about its implications and the conditions in which it holds. (cl) (6 total points) Suppose we is large. What is the sampling distribution of the sample mean? Be specic, including the distribution's parameters