1. The mean and variance of the two Gaussian random variables X and Y are as follows. mx = 0.5, 6x = 1, My = 0.5, 64 = 1 Let the new random variable Z-X+Y be a positive diagram and a Gaussian distribution. It is also assumed that the random variables X and Y are independent of each other. (a) Find the mean and variance of Z. (b) Use the Q function to find the probability that event Z2 2 will occur and express it in a formula that includes the Q function..