The random variables X and Y represent the number of vehicles that arrive at two separate street corners during a 1 certain period in the day. The joint distribution is f(x,y) = +) ( (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). (a) E(X)= (Simplify your answer.) 25 36 , for x =0,1,2,... and y = 0,1,2,....

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