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## #1 2013-04-11 07:33:13

Karimazer1
Guest

### Integration - Continuous Distributions

Hey!

I am having real trouble with this, the topic is not on this concept itself, but we have to use knowledge of it to answer questions in our area.

I am having real trouble understanding it.

So we have the general rule in our example:

G(x) = E[Y1 | Y1 < x] (this is apparantly the expected value, given the assumptions which i dont really understand how they got to this statement itself)

But anyway, so this is the rule we should use. Then in our example, we have:
F(x)=x and G(x)=x^N-1

Hence: expected value = (x^N-1) * ((N-1)/N) * x

= ((N-1)/N)* x^N

Now I understand how to simplify the above to get the bottom answer, but I do not understand the condition probability, then with the example, how to get the answer....

## #2 2013-04-11 19:05:39

anonimnystefy
Real Member

Offline

### Re: Integration - Continuous Distributions

E[Y1|Y1<x] just means the the expected value of Y1, if Y1 can take values only below x.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment