The hypotenuse, Y, of the isosceles right triangle shown is a random variable having a uniform pdf

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The hypotenuse, Y, of the isosceles right triangle shown is a random variable having a uniform pdf over the interval [6, 10]. Calculate the expected value of the triangle€™s area. Do not leave the answer as a function of a.
The hypotenuse, Y, of the isosceles right triangle shown is
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