7 views

Let $X$ be a uniform random variable between $[0,1]$. And let
$M=\min _{m X \geq 1, m \in \mathbb{N}} m .$
Then which of the following is true?

1. $E(M)=\infty$
2. $E(M) \in[5,10]$
3. $E(M)=\exp (1)$
4. $E(M)=\pi$
5. None of the above