Question: Let the height, X, and radius, Y, both measured in centimeters, of a cylinder randomly selected from the production line have the joint PDF given

Let the height, X, and radius, Y, both measured in centimeters, of a cylinder randomly selected from the production line have the joint PDF given in Example 4.3-15.

(a) Find the expected volume of a randomly selected cylinder.

(b) Let X1, Y1 be the height and radius of the cylinder expressed in inches. Are X1 and Y1 independent?

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