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Problem 3: (15 points) Let X be a uniform random variable on [0,1] and let Y be a uniform random variable on [0,2]. Then the

Problem 3: (15 points) Let X be a uniform random variable on [0,1] and let Y be a uniform random variable on [0,2]. Then the probability density functions of X and Y are fx (x ) - f OSX=1 , otherwise' fr ( x ) = 1/2 0

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