Answer
$E(X)=-0.263$
If I play the game 1000 times, it is expected that I will lose $263.
Work Step by Step
$E(X)=μ_X=Σ[x.P(x)]=175\times\frac{1}{38}+(-5)\times\frac{37}{38}=-0.263$
If I play the game 1000 times:
$1000\times E(X)=1000\times(-0.263)=-263$
