Update 1.md

_problems/unit-03/B-expectation-of-a-continuous-random-variable/1.md

@@ -1,3 +1,7 @@
 ---
-For x $0 < x \le 1$:
+index: 1
+statement: |
+    Suppose outcome space $\Omega = \{1,2,3,4,5,6\}$ represents a 6-sided die, and the probability function assigns probability $1/6$ to each outcome. Let random variable $X: \Omega \rightarrow \mathbb{R}$ be defined as, 
+    $$X(x) = \begin{cases} 1, &x \le 2\\\\ 2, &otherwise\end{cases}$$
+    Compute the pmf of $X$
 ---