Question: Please see the problem in the attachment. (a) A point is chosen at random in a disc of radius 1. Let R denote the distance

Please see the problem in the attachment.

(a) A point is chosen at random in a disc of radius 1. Let R denote the distance of the point from the center of the disc. Find the PDF of R. (b) Two points are chosen independently at random in a disc of radius 1. Let Z denote the distance between the points. Show that E (Z2) 2 1. Hint: Use the Law of cosines

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