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Let X be the number on a die roll, between 1 and 6. Let Y be a random number which is uniformly distributed on

Let X be the number on a die roll, between 1 and 6. Let Y be a random number which is uniformly distributed on [0, 1], independent of X. Let Z = 10X + 10Y. a) What is the distribution of Z? Explain. b) Find P(29 Z 58).

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