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In: Statistics and Probability

Let X,,X, and X, be independent uniform random variables on [0,1] Write Y = X, +X,...

Let X,,X, and X, be independent uniform random variables on [0,1] Write Y = X, +X, and Z = X+ X. a.) Compute E[X,X,X,. (5 points) b.) Compute Var(X). (5 points) c.) Compute and draw a graph of the density function fr. (15 points)

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