Question: Let X and Y be as defined in Problem 1. I define a new random variable Z = X 2Y. a. Find the PMF of

Let X and Y be as defined in Problem 1. I define a new random variable Z = X −2Y.

a. Find the PMF of Z.

b. Find P(X = 2|Z = 0).

Problem 1

Consider two random variables X and Y with joint PMF given in Table 5.4 Joint PMF of X and Y in Problem 1 X = 1 X = 2 X = 4 Y = 1 WIT 1 1 Y = 2 1 12 0 -13

X = 1 X = 2 X = 4 Y = 1 WIT 1 1 Y = 2 1 12 0 -13

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