Chapter 4.3, Problem 10E

Let $f_X\left(x\right)=\frac{1}{10},x=0,1,2,\mathrm{...},9,$ and $h\left(y|x\right)=\frac{1}{\left(10-x\right)},y=x,x+1,\mathrm{....},9$.

Find

(a) $f\left(x,y\right)$.

(b) $f_Y\left(y\right)$.

(c) $E\left(Y|x\right)$.