I don't know where to start :(

please help me, thanks

http://i40.tinypic.com/143nj20.png

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- Nov 8th 2011, 05:39 AMHelpmeplease1Random Variable.
I don't know where to start :(

please help me, thanks

http://i40.tinypic.com/143nj20.png - Nov 8th 2011, 08:13 AMemakarovRe: Random Variable VERY TRICKY
I assume that the two numbers are on the faces of the dice.

Let and ; then is the domain of . The definition says that is an -valued random variable if for all . That is, for any subset of values that may have, the set of outcomes from that produce an answer in is a legitimate event, i.e., belongs to the set of events . For this example, this fact is obvious because includes all possible subsets of .

In contrast, is not a random variable with respect to and . E.g., consider . - Nov 8th 2011, 08:45 AMHelpmeplease1Re: Random Variable VERY TRICKY
- Nov 8th 2011, 01:24 PMemakarovRe: Random Variable VERY TRICKY
No, here and because the maximum of all three pairs is 2. Now, .

- Nov 10th 2011, 11:31 AMHelpmeplease1Re: Random Variable VERY TRICKY
If I wanted to describe the distribution function Fx, I take it I do a step function?

- Nov 11th 2011, 05:59 AMHelpmeplease1Re: Random Variable VERY TRICKY
- Nov 11th 2011, 06:21 AMemakarovRe: Random Variable VERY TRICKY
Yes, so the cumulative distribution function is from {1, ..., 6} to [0, 1]; . So,

,

,

,

etc. - Nov 11th 2011, 06:28 AMHelpmeplease1Re: Random Variable VERY TRICKY
- Nov 11th 2011, 07:05 AMemakarovRe: Random Variable VERY TRICKYQuote:

Originally Posted by**emakarov**

for ,

for ,

for ,

...

for .

https://lh6.googleusercontent.com/-G...o/s800/cdf.png