Question: The random variable X has the following probability function: p(x) = = (1-T) for x = 0, 1, 2,... otherwise 0 where 0 <

The random variable X has the following probability function: p(x) = = (1-T) for x = 0, 1, 2,... otherwise 0 where 0 < < 1 is a parameter. i. Derive the moment generating function of X. (4 marks) ii. Using the moment generating function, derive the mean and variance of X. (6 marks)

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