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Let X have a pdf f[x) = 3X21(o._1__1LX}. Consider a random rectangle whose sides are of length X and [1 X). Determine the expected value

Let X have a pdf f[x) = 3X21(o._1__1LX}. Consider a random rectangle whose sides are of length X and [1 X). Determine the expected value {mean} of the area of the rectangle

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