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A group of 9 friends includes 4 Americans, 2 Canadians, and 3 Italians. Three friends are...

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Statistics

A group of 9 friends includes 4 Americans, 2 Canadians, and 3Italians. Three friends are to be selected at random for a trip.Let X denote the number of Americans and Y be the number ofCanadians selected at random among the three friends selected for atrip.

1) Find the joint probability density function of the randomvariables X and Y and the marginal density functions.

2) Find Cov(2X-1, -Y+1).

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