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4. Let a random variable X denote the number of independent coin tosses required until you get the first head. The probability of a head

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4. Let a random variable X denote the number of independent coin tosses required until you get the first head. The probability of a head per coin toss is given as p. (a) What is the PMF px(k) of X? (b) What is the PMF px-ix>1(k) of X-1 given that X>1? (c) Calculate E[X]

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