3. Roll a balanced die and let the outcome be X. Then toss a fair coin X...

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3. Roll a balanced die and let the outcome be X. Then toss a fair coin X times and let Y denote the number of tails. Find Cov(X, Y ) and interpret the result.

Hint: Let p(x, y) be the joint probability mass function of X and Y . To save time, use the table for p(x, y) constructed in Example 8.2.

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