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2. Suppose that two people, Jane and Tom, toss coins. First, Jane tosses a coin 10 times, then Tom tosses the same coin 15

2. Suppose that two people, Jane and Tom, toss coins. First, Jane tosses a coin 10 times, then Tom tosses the same coin 15 times. The probability that the coin lands on the head is p E (0, 1). (a) Let X and Y are the number of total heads for Jane and Tom. What are the distributions of X and Y? (b) Suppose that Z is the sum of total heads for Jane and Tom combined. What should be the distribution of Z?

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