Denote the number of flips made

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A coin that comes up heads with probability $p$ is continually flipped until the pattern $H$, $T$, $H$ appears for the first time (that is, you stop flipping when the last three flips are $H$, $T$, $H$).

a) Let $X$ denote the number of flips made, compute $E[X]$.

b) Let $Y$ denote the number of heads you have when you stop, compute $E[Y]$.

Reference no: EM132399942

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