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To Invite to a Dinner, the White House Randomly Selects

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To invite to a dinner, the White House randomly selects 9 athletes from a group of 5 runners, 7 gymnasts, and 6 boxers. Let X be the number of gymnasts invited, and Y the number of boxers invited. Find the joint probability mass function of X and Y and the conditional probability density function of X given Y=2.

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