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Sneaky P(X=x,Y=y)=1/8 for x =3,5 and y=1,2,4,7
P(X=x,Y=y)=0 otherwise
a) What is Fxy(x,y) for all x,y in R
b) What is pxy(x,y) for all x,y in R
c) What is px(x) for all x in R
d) What is py(y) for all y in R
e) What is the the marginal cdf Fx(x) for all x in R
f) What is the the marginal cdf Fy(y) for all y in R
My attempt
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a)
Fxy(x,y) =
y<1 1<=y<2 2<=y<4 4<=y<7 y<=7
x<3 0 0 0 0 0
3<=x<5 0 1/8 2/8 4/8 6/8
x<=5 0 2/8 4/8 6/8 8/8
1 if otherwise
b)
Pxy(X=x,Y=y)= 1/8 if x is 3,5 and y is 1,2,4,7
0 otherwise
c)