The joint distribution of X and Y is given in the following table. | | x = 0 | x = 1 | x = 3 | | :--- | :--- | :--- | :--- | | Y = -1 | 0.11 | 0.03 | 0.00 | | Y = 2.5 | 0.03 | 0.09 | 0.16 | | Y = 3 | 0.15 | 0.15 | 0.06 | | Y = 4.7 | 0.04 | 0.16 | 0.02 | Find E(Y|X=3). Give answer up to three decimal place.
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Step 1
We can do this by dividing the probabilities in the row X = 3 by the sum of the probabilities in that row. P(Y = -1 | X = 3) = \frac{0.00}{0.00 + 0.16 + 0.06 + 0.02} = 0 P(Y = 2.5 | X = 3) = \frac{0.16}{0.00 + 0.16 + 0.06 + 0.02} = \frac{0.16}{0.24} = Show more…
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