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both parts pleaase 1. (6 marks) A point (X, Y) is randomly selected from the interior of the unit circle centred at the origin. Consider

both parts pleaase

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1. (6 marks) A point (X, Y) is randomly selected from the interior of the unit circle centred at the origin. Consider another circle centred at the origin and passing through (X, Y). Let A be the area of the region between the two circles. (a) Find the moment generating function (MGF) of A. What is the name of the distribution of A? (b) Find the mean and variance of A. (2)

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