Problem 1. Let X be a uniform random variable on [0, 1] andlet Y be a uniform random variable on [1,1] and Y is independent ofX. Compute the density function of the random variable X +2Y. Problem 1. Let \( X \) be a uniform random variable on \( [0,1] \) and let \( Y \) be a uniform random variable on \( \left[\frac{1}{4}, 1\right] \) and \( Y \) is independent of \( X \). Compute the 1 answer