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Let X denote the diameter of an armored electric cable and Y denote the diameter of...

Let X denote the diameter of an armored electric cable and Y denote the diameter of the ceramic mold that makes the cable. Both X and Y are scaled so that they range between 0 and 2. Suppose that X and Y have the joint density

f(x,y)={Ky00<x<y<2;otherwise.

Determine the value of the constant K.

Determine the FX,Y(0.5,1).

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