|Feb17-08, 07:43 PM||#1|
Find the marginal probability functions of a) X and b) Y
f(x,y)=cxy for x=1,2,3 y=1,2,3 (discrete data)
The first thing I did was solve for c, which turned out to be 1/36. The book confirmed this.
Next I setup a table, for x=1 the total would be 6c, x=2 12c, x=3 18c.
So for the marginal probability for X, where x=1 I took 6 (1/36) 1/6, x=2 12(1/36)=1/3, & finally x=3 18(1/36)=1/2
so the marginal probability for X is as follows
f(x)= 1/6 for x=1
1/3 for x=2
1/2 for x=3
However, this is what the book has for an answer
f(x)= x/6 for x=1,2,3
So I'm kinda confused here. The book has a similar example & I did this problem exactly like the example, so where am I going wrong?
|Feb17-08, 09:27 PM||#2|
Edit: I just noticed that you do have the correct answer. Think about it.
|Feb17-08, 11:08 PM||#3|
Indeed, you are correct... :)
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