a)for this to be valid:
P(X,y) =c*((3*1+1)+(3*1+2)+(3*2+1)+(3*2+2))=c*24 =1
c=1/24
b)
E(X) =x*P(x,y) =(1/24)*(1*(3*1+1)+1*(3*1+2)+2*(3*2+1)+2*(3*2+2)) =13/8
E(Y)=y*P(x,y) =(1/24)*(1*(3*1+1)+2*(3*1+2)+1*(3*2+1)+2*(3*2+2)) =37/24
E(XY) =xy*P(x,y) =(1/24)*(1*1*(3*1+1)+1*2*(3*1+2)+2*1*(3*2+1)+2*2*(3*2+2)) =5/2
Cov(X,Y)=E(XY)-E(X)*E(Y) = -1/192
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