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Consider the experiment of independently flipping a fair coin 4 times. Define the RV X to be the length of the longest streak of Heads,

Consider the experiment of independently flipping a fair coin 4 times. Define the RV X to be the length of the longest streak of Heads, i.e. the maximum number of Heads appearing in a row. If there are no Heads in the outcome, then set the value of X equal to 0. Find the probability mass function (PMF) of X.

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