Consider an experiment of tossing an honest coin repeatedly. Let the random variable (r.v.) X denote the number of tosses requires until the first tail appears. 1. Find the probability mass function (pmf) px (x) and the cumulative distribution function (cdf) Fx(2) of X. (10 points) 2. Find (a) P(1 <X <= 5) and (b) P(X > 5).

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