Question: Problem 5 (a) Let X and Y be independent random variables with uniform distribution in [-1/2,1/2]. Compute E[X], E[X2], E[X-Y], E[XY], and E[(X-Y)]. (b)

Problem 5 (a) Let X and Y be independent random variables with

Problem 5 (a) Let X and Y be independent random variables with uniform distribution in [-1/2,1/2]. Compute E[X], E[X2], E[X-Y], E[XY], and E[(X-Y)]. (b) What is the expected squared Eulicean distance between two independent points generated uniformly at random inside the unit d-dimensional cube C = [-1/2,1/2]?

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