Prove $\mu(X) = 1$, and $E_1, \dots, E_n$ are measurable and $\mu(E_1) + \dots + \mu(E_n) > n - 1$, then $E_1 \cap \dots \cap E_n \neq \emptyset$
If $\ \sum_{k=1}^n m(E_n) > n-1,$ then prove that $\bigcap_{k=1}^n E_k$ has positive measure.