Question: 2015 Winter Final - 22
One of Lindsay and Simon is chosen uniformly at random. The person that is chosen wins \$100.
Define the random variables $L$ and $S$ as follows:
- L = the amount that Lindsay wins
- S = the amount that Simon wins.
(a)
$\mathbb{E}(L) = 50$ and $\mathbb{E}(\max(L,S)) = 100$.
(b)
$\mathbb{E}(L) = 100$ and $\mathbb{E}(\max(L,S)) = 50$.
(c)
$\mathbb{E}(L) = 100$ and $\mathbb{E}(\max(L,S)) = 100$.
(d)
$\mathbb{E}(L) = 50$ and $\mathbb{E}(\max(L,S)) = 50$.