45. An urn contains 4 white and 6 black balls. Two successive random samples of sizes 3...

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45. An urn contains 4 white and 6 black balls. Two successive random samples of sizes 3 and 5, respectively, are drawn from the urn without replacement.

Let X and Y denote the number of white balls in the two samples, and compute E[XY], fori 1, 2, 3, 4.

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