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5. a. A coin is flipped 3 times and the probability of getting a head is twice as likely to occur as a tail. LetXbe

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5. a. A coin is flipped 3 times and the probability of getting a head is twice as likely to occur as a tail. LetXbe the number of heads obtained. i. Compute the kth moment of X. (5 Marks ) ii. Find the mean and variance of X using this kth moment. (5 Marks) b. Let X be a random variable with moment generating function . Find the variance of X. (8 Marks) [Total: 18 Marks]

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