If I want to generate a random variable with such a pdf: $f(x) = \frac{5}{12}[1+(x-1)^4], (0 \leq x \leq 2)$ by composition, what should I do?
Some of my thought is that I can first make it into $f(x) = \frac{5}{6}\frac{1}{2} + \frac{1}{6}[\frac{5}{2}(x-1)^4]$. But I'm not sure how to proceed.
Thanks!