Question: Let the random variable Y have the uniform distribution over [a, b]; that is, fY (y) = 1/ ba for a y b.

Let the random variable Y have the uniform over [a, b]; that is, fY (y) = 1/ b−a for a ≤ y ≤ b. Find E(Y) using Definition 3.5.1. Also, deduce the value of E(Y), knowing that the expected value is the center of gravity of fY (y).

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