Let $X_1, X_2, \dots X_n$ be independent uniform random variables with range $X_i \in [−1,2]$. What does the law of large numbers tell us about the value of $$\frac{1}{n} \sum_{i} \lvert X_i \rvert $$ for large $n$?
I understand that the expected value of an individual RV should be the same as the sample average, but I'm confused how the absolute value affects the answer.