STA 103

Task: Problem 1. The joint distribution of X and Y is as follows: X \Y 0 10 1/8 01 2/8 2/82 0 3/8a. Find E[X|X > 0]. b. Determine the probability mass function of Z = X + Y . c. Compute E[Z].2 Problem 2. a. X has a normal distribution with mean 5 and variance 25. Y has a normal distribution with mean 3 and variance 16. In addition, X and Y are independent. If W = X + Y ,find P(W > 9). b. Random variables U, V, Z are such that E[U] = 1, E[V ] = 5,

22 Other / Other University Of California, Davis / STA 103 18 Nov 2020