Question: The random variable Xwith density function f(x) = 1/(b a) for a x b, and 0 otherwise, is said to have a

The random variable Xwith density function f(x) = 1/(b −

a) for a  x  b, and 0 otherwise, is said to have a uniform distribution over

(a, b). Calculate its mean.

a. (a + b)/2

b. a − b/2

c. a + b/4

d. a − b/4

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