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Please provide more detail process, thanks 1. Let X be uniformly distributed on [0, 1/2] and let Y be uniformly dis- tributed on [0, 3].

Please provide more detail process, thanks

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1. Let X be uniformly distributed on [0, 1/2] and let Y be uniformly dis- tributed on [0, 3]. Suppose that Xand Y are independent. (a) (4 points) Is the point with coordinates (X, Y) uniformly distributed in some region? (b) (7 points) Find the cumulative distribution function of X + Y. (c) (9 points) Find the cumulative distroution function of XY

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