Let the joint pmf of X and Y be defined by f (x, y) = c(x...

Let the joint pmf of X and Y be defined by f (x, y) = c(x + y), x =0, 1, 2, y = 0, 1, with y ≤ x.

1. Are X and Y independent or dependent? Why or why not?

2. Find g(x | y) and draw a figure depicting the conditional pmfs for y =0 and 1.

3. Find h(y | x) and draw a figure depicting the conditional pmfs for x = 0, 1 and2.

4. Find P(0 < X <2 |Y = 0), P(X ≤ 2 |Y = 1), and P(X = 1 |Y = 1).

5. Find E(Y |X = 1) and Var(Y |X = 1).

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Expert Solution

orchestra answered 1 year ago

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