Let X & Y have the following joint probability distribution x 1 2 3 0 0.15 0.10 0.15 y 1 0.00 0.05 0.00 4 0.10 0.15 0.30 Find P(Y=4 | X=3). Give your answer as a decimal, correct to 4 decimal places.
Added by Steven S.
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From the table, we can see that this is 0.30. Show more…
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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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