Question 5 = Suppose X, i = 1,...,n are independent and identically distributed ran- dom variables, and let Sn Use the CLT to approximate the probability P(Sn Do it in the case that: Xi a) (1 mark) t = 50, n = 25, X; ~ Poisson (A = 2) 2 b) (1 mark) t = 100, n = 50, X; ~ Poisson (A = 2) c) (1 mark) t = 115, n = 50, Xi ~ 50, X~ Poisson( 2 = 2) d) (1 mark) t = 25, n = 25, Xi ~Gamma(a = 1, = 1) e) (1 mark) t = 35, n = 25, X; ~ Gamma(a = 1, = 1) Gamma(a = 1, B = 1) f) (1 mark) t = 65, n = 50, Xi ~