Hi please use the given information to answer each part of the problem and please include a short explanation, drawing, or steps/formulas to improve my understanding of the problem. Please let me know if there's any questions, thank you!

Let the random variable U be uniformly distributed over (0, 1]. Derive the pdfs for the following functions of U: (a) X = aU + b , where a O are constants. (b) Y = 1n U