Question: Problem 1. Let X be a uniform random variable on [0, 1] and let Y be a uniform random variable on [1,1] and Y is

Problem 1. Let X be a uniform random variable on [0, 1] and let Y be a uniform random variable on [1,1] and Y is independent of X. Compute the density function of the random variable X + 2Y.
 Problem 1. Let X be a uniform random variable on [0,

Problem 1. Let X be a uniform random variable on [0,1] and let Y be a uniform random variable on [41,1] and Y is independent of X. Compute the density function of the random variable X+2Y

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