Question: Let X1, X2, X3 be independent continuous random variables, each uniformly distributed in the interval [0, 10]. Let Y denote the middle of the three

Let X1, X2, X3 be independent continuous random variables, each uniformly distributed in the interval [0, 10]. Let Y denote the middle of the three values. Find the cumulative function FY(a) = P(Y ≤ a) of the random variable Y.

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