Random variables and Linearity I have an equation $Y = 5 + 3\times X$ and I assume that $X$ is a random variable taking values from a uniform distribution. Can I consider that also $Y$ is a random variable which takes values from a uniform distribution also but in different space?
Thank you in advance

If X is uniform on (0,1) then Y=5+3X is uniform on (5,8). More generally, for every nonzero b, Z=a+bX is uniform on (a,a+b).
