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Let f (x, y) = c, 0 ≤ y ≤ 4, y ≤ x ≤ y...

Let f (x, y) = c, 0 ≤ y ≤ 4, y ≤ x ≤ y + 1, be the joint pdf of X and Y.

1. Determine h(y | x), the conditional pdf of Y, given that X = x.

2. Determine g(x | y), the conditional pdf of X, given that Y = y.

3. Compute E(Y | x), the conditional mean of Y, given that X = x.

4. Compute E(X | y), the conditional mean of X, given that Y = y.

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