I have the following distribution:
$$P(Z \leq z ) = \begin{cases} z/20 & 0 < x <10 \\ 1/2 + z/200 & 10 \leq z < 110 \\ 1 & z > 110 \end{cases} $$
How can I write this as a mix of two uniform distributions? For reference, the cdf of U(a,b) is (x - a)/(b - a), and the pdf is 1/(b - a).