Question: 10. Let X be a continuous random variable with set of possible values{x : 0 < x < } (where < ), distribution functionF,

10. Let X be a continuous random variable with set of possible values{x : 0 < x < α} (where α < ∞), distribution functionF, and density function f . Using integration by parts, prove the following special case of Theorem 6.2. E(X) = E α 0 4 1 − F (t)5 dt.

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