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Suppose that X is uniformly distributed on the interval [0,5], Y is uniformly distributed on the...

Suppose that X is uniformly distributed on the interval [0,5], Y is uniformly distributed on the interval [0,5], and Z is uniformly distributed on the interval [0,5] and that they are independent.

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

b)what is the expected value of the max of n independent random variables that are uniformly distributed on [0,5]?

c)find pr[min(X,Y,Z)<3]

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