All Questions
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How to rigorously interpret and transform "equal chance" in different ways?
Put $100$ identical balls into $10$ identical boxes in a way that each ball enters each box with an equal chance. What's the probability that no box is empty?
I have solved it but like to discuss ...
- 2,036
-1
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1
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187
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Uniqueness of a P-measurable random variable
"Let $X$ be a discrete random variable on a discrete sample space. Let P be a partition of that sample space.
a) Show that $E[X|P]$ is the unique P-measurable random variable $Y$, ie $Y$ = $E[X|P]$, ...
- 503
1
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What form does the Law of Total Probability take if the partition you use is generated by the random variable Y?
The Law of Iterated Expection Looks like E{E(X|Y)} when the partition you use is generated by the random variable Y rather than Ω. What happens when you use such a partition on the Law of Total ...
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