Question 2. (5 points) Let X and Y both be continuous random variables that are uniformly distributed in (0,1), i.e., X

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Question 2 5 Points Let X And Y Both Be Continuous Random Variables That Are Uniformly Distributed In 0 1 I E X 1 (24.63 KiB) Viewed 36 times

Question 2. (5 points) Let X and Y both be continuous random variables that are uniformly distributed in (0,1), i.e., X Uniform(0,1) and Y~ Yn Uniform(0,1). Assume X and Y are independent. a) (1.5 points) Find CDF of Z = max(X,Y). Hint: Note that {max(X,Y)< } is equivalent to {{X <} and {Y < z}}. b) (2 points) Find CDF of W = min(X,Y). c) (1.5 points) Let S = Z+W, calculate Cou(S, X).