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4.6 Distribution of sum of independent uniform RVs. A RV Y is the sum of 500 independent and identically distributed RVs X1, X2, . .

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4.6 Distribution of sum of independent uniform RVs. A RV Y is the sum of 500 independent and identically distributed RVs X1, X2, . . . , X500. Each X7; is uniformly distributed over (1,2). Find the mean and variance of Y. Give an approximate distribution or PDF of Y and justify your answer. What is the probability that Y is larger than 750

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