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(d) An unbiased die is thrown repeatedly until a 4, a 5 and a 6 have been obtained. The random variable M denotes the number

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(d) An unbiased die is thrown repeatedly until a 4, a 5 and a 6 have been obtained. The random variable M denotes the number of throws required. For example, for the sequence of results 6, 3, 4, 3, 6, 6, 5, the value of M is 7. Calculate E(M) and Var(M). [10 marks]

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