Question: Consider two random variables X and Y with joint PMF given in Table 5.4 Joint PMF of X and Y a. Find P(X 2,Y

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

a. Find P(X ≤ 2,Y > 1).

b. Find the marginal PMFs of X and Y .

c. Find P(Y = 2|X = 1).

d. Are X and Y independent?

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

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