(I'm not sure whether this thread belongs in Pre- or the Uni forum)

How can we prove that for a discrete probability distribution

using the axioms of probability.

---------

My start:

We know that since

but then what?

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- May 2nd 2010, 04:23 AMscorpion007Prove use of axiom
(I'm not sure whether this thread belongs in Pre- or the Uni forum)

How can we prove that for a discrete probability distribution

using the axioms of probability.

---------

My start:

We know that since

but then what? - May 2nd 2010, 07:47 AMPlato
It is impossible to answer that question without knowing the complete set of axioms you have been given.

In many textbooks,__Introduction to Probability__by Laurie Snell, that is in fact part of the definition of*probability densities*on finite sample spaces. - May 2nd 2010, 07:52 AMscorpion007
Oh, I see. My textbook lists three axioms:

1. All probabilities are between 0 and 1. For any proposition ,

2.

3. Probability of a disjunction:

- May 2nd 2010, 08:41 AMPlato