Setting your bid and ask against informed traders

An asset is worth \100$today, but its true value$V$will turn out to be either$$102$or$$98$(each equally likely, a move of$d = $2$). A fraction$\alpha = 0.20$of the traders you face are **informed**, they already know$V$and will buy if it's$$102$, sell if it's$$98$. The other$80%$are noise traders who buy or sell at random ($50/50$).

Where should you set your bid and ask so that you break even against this flow?