Consider Review Exercise 3.77 on page 108. The random

Chapter 5, Problem 4.69

(choose chapter or problem)

Consider Review Exercise 3.77 on page 108. The random variables X and Y represent the number of vehicles that arrive at two separate street corners during a certain 2-minute period in the day. The joint distribution is f(x,y)= 1 4(x+y)9 16, for x =0 ,1,2,... and y =0 ,1,2,.... (a) Give E(X), E(Y ), Var(X), and Var(Y ). (b) Consider Z = X + Y , the sum of the two. Find E(Z) and Var(Z).

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