Question: When a coin is tossed three times, for the outcome HHT we say that two runs have occurred - namely, HH and T. Likewise, for

When a coin is tossed three times, for the outcome HHT we say that two runs have occurred - namely, HH and T. Likewise, for the outcome THT we find three runs: T, H, and T. (The notion of a run was first introduced in Example 1.41.) Now suppose a biased coin, with Pr(H) = 3/4, is tossed three times and the random variable X counts the number of runs that result. Determine
(a) The probability distribution for X.
(b) E(X).
(c) crx-

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