Two pencils are selected at random from a box that contains 3 blue, 2 red, and...

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Two pencils are selected at random from a box that contains 3 blue, 2 red, and 3 green pencils. Let X be the number of blue pencils (rows) and Y be the number of red pencils (columns) selected. The joint PMF is: 21-28 00 1 343-14 0 0 3 28 9-28 3-28 2

(a) Find the conditional distribution of the number of blue pencils given the number of red pencils.

(b) Find the conditional mean of the number of blue pencils given the number of red pencils is y.

(c) Find the conditional variance of the number of blue pencils given the number of red pencils is y.

math Statistics-And-Probability

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