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A biased coin turns up heads with probability p. Denote the probability that the third head turns up on the k'th toss PK (k). (A)

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A biased coin turns up heads with probability p. Denote the probability that the third head turns up on the k'th toss PK (k). (A) What is the sample space for the random variable K. (B) What is the Probability Mass Function PK (k). (C) Calculate the expected value of of the random variable K, E[K]. (D) Calculate the expected value of the square of the random variable K, ELK2]

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