TU Wien:Statistik und Wahrscheinlichkeitstheorie UE (Bura)/Übungen 2019W/3.5

Uniform-exponential relationship

Let X be a random variable, uniformly distributed on (0, 1).

(a) Find the cumulative distribution function of X.

(b) Find the distribution of Z = − log X.

Lösungsvorschlag von Gittenburg

--Gittenburg 11:17, 29. Okt. 2019 (CET)

(a) $F(x)={\begin{cases}0&x<0\\x&0\leq x\leq 1\\1&x>1\end{cases}}$

(b) TBD