Question: Problem 3. A fair coin is ipped twice. Let X be the number of heads in the two tosses, and let Y be the indicator

Problem 3. A fair coin is ipped twice. Let X be the number of heads in the two tosses, and let Y be the indicator variable of the tosses landing in the same orientation (i.e., Y : 1 if the outcomes are HH or TT, and Y 2 0 otherwise). (a) Find the joint pmf of X and Y. (b) Find the marginal pmfs of X and Y. ((3) Are X and Y independent

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