diff --git a/is/UB1/ISUB1.pdf b/is/UB1/ISUB1.pdf
index 8be3a24..2afe67f 100644
--- a/is/UB1/ISUB1.pdf
+++ b/is/UB1/ISUB1.pdf
Binary files differ
diff --git a/is/UB1/ISUB1.tex b/is/UB1/ISUB1.tex
index b5a7b9e..7bd612e 100644
--- a/is/UB1/ISUB1.tex
+++ b/is/UB1/ISUB1.tex
@@ -111,21 +111,19 @@
     \Aufgabe{Random Variables}{2+2+2=6}
         \begin{enumerate}
             \item $F\left(\frac{3}{2}\right)-F\left(\frac{1}{2}\right)=\frac{3}{4}-\frac{1}{4}=\frac{1}{2}$
-            \item $f_X(x)=\begin{cases}
-            0 & if\ x<0\ or\ x>2\\
-            \frac{1}{2} & if\ 0\leq x\leq 2\\
-            \end{cases}$
-             $f_Y(x)=\begin{cases}
-             0 & if\ x<0\ or\ x>2\\
-             \frac{1}{2}x & if\ 0\leq x\leq 2\\
-             \end{cases}$\\\\
-             $f_Y(x)<f_X(x) \Leftrightarrow x\in (0,1)$ \\
+            \item 
+             $x^2<x\Leftrightarrow x\in (0,1)$ \\
              $\Rightarrow \mathds{P}(Y<X)=\mathds{P}(0\leq X<1)=F\left(1\right)-F\left(0\right)=\frac{1}{2}-0=\frac{1}{2}$\\
-            \item $F_Z(x)=\begin{cases}
-                0 & if\ x<0\\
-                \frac{\sqrt{2}}{2}\sqrt{x} & if\ 0\leq x\leq 2\\
-                1 & if\ x>2
-            \end{cases}$%TODO: adjust intervals
+            \item $
+            F_z(z) = F_x(g^{-1}(z))\\
+            g(X)=\sqrt{X} \\ g^{-1}(z)= z^2\\
+            F_z(z)= \frac{1}{2} z^2\\
+            F_Z(x)=\begin{cases}
+                0 & if\ z<0\\
+                \frac{1}{2} z^2 & if\ 0\leq z\leq 2\\
+                1 & if\ z>2
+            \end{cases}$%TODO: adjust intervals dazu sagt das Beispiel nichts...
+           \\ reference: http://math.arizona.edu/~jwatkins/f-transform.pdf 
         \end{enumerate}
     \Aufgabe{Keep Rolling!}{4}
         \begin{align*}