Question: Problem 4.21 If X is uniformly distributed over the interval [a, b] show that: (a) E(X)=(a + b)/2. (b) V (X)=(b a)2/12.

Problem 4.21 If X is uniformly distributed over the interval [a, b] show that:

(a) E(X)=(a + b)/2.

(b) V (X)=(b − a)2/12.

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