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Suppose that X is uniformly distributed on the interval [0,10], Y is uniformly distributed on the...

Suppose that X is uniformly distributed on the interval [0,10], Y is uniformly distributed on the interval [0,10], and Z is uniformly distributed on the interval [0,10] and that they are mutually independent.

a)find the expected value of the min(X,Y,Z)

b)find the standard deviation of the min(X,Y,Z)

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