1 Let X1, X2,..., Xg, be independent and identically distributed continuous random variables, each with expected value u= E(X) = 5, and variance o- = V(X) = 4. Determine the sampling distribution of the statistic T=1X;. [2] Calculate the probability P(T> 369) using your answer to part (i). [2] [Total 4] 1 Let X1, X2,..., Xg, be independent and identically distributed continuous random variables, each with expected value u= E(X) = 5, and variance o- = V(X) = 4. Determine the sampling distribution of the statistic T=1X;. [2] Calculate the probability P(T> 369) using your answer to part (i). [2] [Total 4]