Suppose X \sim N (\mu_1, \sigma^2_1) and Y \sim N (\mu_2, \sigma^2_2) are independent. Find, with proof the distribution of X + Y. Suppose that X sim Binomial(n,p) and Y sim Binomial(m,p) and that X...
Use mgf's to find the distribution of aX + bY. Find the moment generating function for X is the following cases: (a) Suppose that X \sim Binomial(4, 3/4). (b) Suppose that X \sim Poisson(5). (c) Suppose that X \...