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Math · Statistics And Probability
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6. Consider the random variable x and Y that represent the number of vehicles that arrive at two separate street corners during a certain 2-minute period. The joint distribution of X and Y is given by f(z, y) for 0,1,2 and v 0,1,2 (a) Are the random variables X and Y independent? Explain the reason. (b) What is the probability that during this time period less than 4 vehicles arrive at the two street corners? (c) Compute E(X), E(Y), Var (X), Var (Y). (d) Consider Z X Y. Find E(Z) and Var(Z).


joint distribution with two random variables and mean and variance.

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