Question

Let X be an exponential random variable and let Y = a*X + b. What are the conditions for Y to be exponential?

Answer 1

Let X be a continuous random variable, uniformly distributed on some interval, and let Y = a*X + b. What are the conditions for Y to have a uniform distribution?

Answer 2

For the first question, if we are talking about random variables, I think a must have to be 1