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3. Suppose you carry out independent repetitions of an experiment that succeeds with probability 0.25, until you get 4 successes. Let / be the number

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3. Suppose you carry out independent repetitions of an experiment that succeeds with probability 0.25, until you get 4 successes. Let / be the number of failures you had up to that point. Then, roll a die / times and let X be the sum of the numbers that appear. Answer each question below. Each question is worth 10 marks. (20 marks) (a) Find the mean of X. (b) Find the variance of X

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