Two discrete random variables X and Y have joint pmf given by the following table:
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Y
______________________________________________
| 1 2 3
X | _______________________________
| 1 | 1/12 1/6 C
| 2 | 1/6 1/4 1/12
| 3 | 1/12 1/12 0
[/html]i) Find C
ii) Compute the probability of each of the following events.
a)
b) X is odd
c) XY is even
d) Y is odd given that X is odd.