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(27) Three people are chosen at random from amongst a group of 4 fiction writers, 5 poets, and 6 non-fiction writers. Let X be the

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(27) Three people are chosen at random from amongst a group of 4 fiction writers, 5 poets, and 6 non-fiction writers. Let X be the number of fiction writers selected, and let Y be the number of non-fiction writers selected. Find all values of the joint probability mass function p(r, y) for X and Y, organizing the values in a table like the one below. X 0 2 3

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