5. Let X and Y be discrete random variables with Sx {0, 1, 2} and Sy joint probability mass function (x, y, ) = P(X = x.

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5 Let X And Y Be Discrete Random Variables With Sx 0 1 2 And Sy Joint Probability Mass Function X Y P X X 1 (93.21 KiB) Viewed 18 times

5. Let X and Y be discrete random variables with Sx {0, 1, 2} and Sy joint probability mass function (x, y, ) = P(X = x.Y = y) as follows: f(x, y) = x+y x = 0, 1, 2 and y = 0, 1, 2, 3 otherwise 30 { a. Find the marginal distribution of X. That is to say find fx(x) = P(X = x) for x=0,1,2. b. Find the marginal distribution of Y. That is to say find fy(Y) = P(Y = Y) for y=0,1,2,3. c. Are X and Y independent random variables? (hint: check if f(x, y) = fx(x) fy(y)) = 0 = {0, 1, 2, 3}. Define the