q) T511652 2H1BEEIEI 20%EJ- 0 Note: This is different than the parameterization we have used in lecture. a. Find the MGF of X where X has and Ewp(9) distribution b. Let Y = 2L1 Xi where the Xi are iid. Find the lVIGF of Y c. Find the MGF of the sample mean Z : % (1. Find the l\ lGF of the scaled and centered mean W/ = (Z 6). Note: later in the course we will show that as 71 goes to innity, this l\\*lGF converges to that of the standard normal, or \"bell curve\". This is the basis of the proof of the Central Limit Theorem, a fundamental result in statistics