Question

The joint probability function of a random vector (X, Y) is expressed in terms of a constant k:

k(2x+y) x=1,2; y=1,2
FXY(x,y)=
0 otherwise

a)Find the value of k
b)Graphically represents the joint probability function

c)Find the marginal probability functions of X and Y. Graphically represents the marginal probability function of X.

d) Whether X and Y are independent

Answer 1

a) \[k*\sum_{y=1}^{2} (2x+1)+(2x+2)\]

Answer 2

im right????????????