Homework SoursePX Y i j 16 i 0 j 0 13 i 0 j 1 13 i 1 j 0 16 i 1 j
P_X, Y [i, j] = {1/6 i = 0, j = 0 1/3 i = 0, j = 1 1/3 i = 1, j = 0 1/6 i = 1, j = 1
![P_X, Y [i, j] = {1/6 i = 0, j = 0 1/3 i = 0, j = 1 1/3 i = 1, j = 0 1/6 i = 1, j = 1 SolutionFollowing table shows the marginal distribution of X and Y: Condit](/WebImages/27/px-y-i-j-16-i-0-j-0-13-i-0-j-1-13-i-1-j-0-16-i-1-j-1072761-1761562185-0.webp "P_X, Y [i, j] = {1/6 i = 0, j = 0 1/3 i = 0, j = 1 1/3 i = 1, j = 0 1/6 i = 1, j = 1 SolutionFollowing table shows the marginal distribution of X and Y: Condit")
Solution
Following table shows the marginal distribution of X and Y:
Conditional distiribution of P(Y|X) will be
And conditional distiribution of P(X|Y) will be
| i/j | 0 | 1 | P(X=i) |
| 0 | 1/6 | 1/3 | 1/2 |
| 1 | 1/3 | 1/6 | 1/2 |
| P(Y=j) | 1/2 | 1/2 | 1 |
