If a random variable is defined as Y=3−2X, how do I find the CDF and PDF of Y if X follows a Uniform distribution of X∼(−1,1)?
For CDF, am I trying to solve for F(b)=F(−2) or F(y)? I tried setting Y=3−2X to y and solving for X in the equality Pr(Y≤y) but if I don't have an actual value for y, I'm not sure where to go from here.
Sorry if this is messy, but ultimately, I'd like to find the CDF and PDF of Y if Y is a defined random variable Y=5−2X and X∼Uniform (−1,1).
