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A fair six-sided die is rolled repeatedly until a 3 is obtained. Let Y represent the roll on which the first 3 appears. a) (10

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A fair six-sided die is rolled repeatedly until a 3 is obtained. Let Y represent the roll on which the first 3 appears. a) (10 points) Determine the probability function for Y. b) What is the probability that the first 3 will occur on the second roll? c) What is the probability that it will take more than four rolls to get the first 3

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