A playlist contains 15 songs, 5 songs from Artist 1, 5 songs from Artist 2, and 5 songs from Artist 3. Shuffle the playlist (randomly) and listen to the first 6 songs on the playlist. Let Y1 be the number of songs from Artist 1 in the first 6 songs played and let Y2 be the number of songs from Artist 2 in the first 6 songs played.

(a) Find the joint probability distribution function for Y1 and Y2.

(b) Find the marginal probability distribution functions for Y1 and Y2. Both distributions are the same as one we have studied in the past. What is the distribution and parameters?

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