Problem 2. Discrete distributions. Suppose a fair coin is flipped 3 times. Each time it comes up Heads you win $1, and each time it
Problem 2. Discrete distributions. Suppose a fair coin is flipped 3 times. Each time it comes up Heads you win $1, and each time it comes up Tails you lose $1 (equivalently, you "win" -1 dollars). Let X denote the total amount that you win after the three flips, which may be negative if you end up losing money. a. State the sample space. b. Specify the probability mass function (PMF) of X
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