Answer
$μ_X=-0.05~dollars$
$σ_X=5.76~dollars$
Work Step by Step
$μ_X=Σ[x.P(x)]=35\times\frac{1}{38}+(-1)\times\frac{37}{38}=\frac{-2}{38}=-0.05$
$σ_X=\sqrt {Σ[x^2.P(x)]-μ_X^2}=\sqrt {35^2\times\frac{1}{38}+(-1)^2\times\frac{37}{38}-(-0.05)^2}=5.76$