Question: Consider Review Exercise 3.77 on page 128. The random variables X and Y represent the number of vehicles that arrive at two separate street corners

Consider Review Exercise 3.77 on page 128. 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 for x = 0, 1, 2, … and y = 0, 1, 2, ….

1. Give E(X), E(Y), Var(X), and Var(Y).

2. Consider Z = X + Y, the sum of the two. Find E(Z) and Var(Z).

2 I I 2

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