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1. We flip 100 fair coins. Then we take all of the coins that landed on tails and flip them again. (a) Let X denote

1. We flip 100 fair coins. Then we take all of the coins that landed on tails and flip them again.

(a) Let X denote the number of coins that are now on heads. What is the distribution of X?

(b) Now suppose we continue this process: Take all coins that are still on tails and keep flipping them until they land on heads. What is the expected number of total flips until all coins are on heads?

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