7 (7 points). There is a box containing SIX tickets, labelled as 1, 2, 3, 3, 4, 5. Let X, be the ticket number on the fi
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7 (7 points). There is a box containing SIX tickets, labelled as 1, 2, 3, 3, 4, 5. Let X, be the ticket number on the fi
7 (7 points). There is a box containing SIX tickets, labelled as 1, 2, 3, 3, 4, 5. Let X, be the ticket number on the first draw from the box. Now hold this ticket at hand and make a second draw from the box. Let X, be the ticket number of the second draw. Define Y max(X1, X2) and Z = min(X1, X2). a) (3 points). Calculate the joint PMF of Y and Z. b) (2 points). Derive the marginal PMF of both Y and Z. c) (2 point). Are Y and Z independent?
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