- #1

kuahji

- 394

- 2

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?