X is a random variable with mean [xx = 41.9 and standard deviation ox = 6.6, while Yis a random variable (independent ofX) with mean [IV = 53.4 and standard deviation 0y = 8.7. a) Let Z = X+Y. That is, Z is the random variable representing the sum ofX and Y. Find the mean and standard deviation of 2. Give your answers to two decimal places. uz=l b) Let W = X+X. That is, W is the random variable representing the sum of two independent outcomes of X. Find the mean and standard deviation of W. Give your answers to two decimal places. Ilw= Ow: c) Let R = 2X. That is, R is the random variable representing 2 times a single outcome of X. Find the mean and standard deviation of R. Give your answers to two decimal places. #R=' ' O'R d) Let T = 2X+3Y. Find the mean and standard deviation of T. Give your answers to two decimal places. MT= 07-: e) Let S = 0.2X+O.8Y. Find the mean and standard deviation of 5. Give your answers to two decimal places. #5: Us