I need help

Determine the value of k for Which the function given by f(x,y)=kxy for x=1,2,3; y=1,2,3

Can serve as a joint probability distribution.
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1 Answer

y⬇︎x➡︎ 1 2 3
1 k 2k 3k
2 2k 4K 6k
3 3k 6k 9k

Add up the sum of the products: 36k. This sum must add up to 1 because all outcomes sum to certainty.

Therefore 36k=1 and k=1/36 so f(x,y)=xy/36.

by Top Rated User (1.2m points)

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