Statistics - Poisson distribution.

AI Thread Summary
The discussion revolves around estimating the total number of marbles in five boxes using the Poisson distribution, given that two boxes are known to contain no marbles. The original poster initially sought guidance on solving the problem but later indicated they figured it out independently. There was uncertainty about whether the post belonged in a different section of the forum. The poster also expressed a desire to delete the post but was unsure how to do so. The conversation highlights the application of the Poisson distribution in real-world scenarios.
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(Not sure if I should have posted this in the h/w problem section since it's not really hw...just a problem I've faced recently. But if it should be there, I can move it there. )

There are 5 boxes.

Each box may contain a certain amount of marbles (1, 2, 3 etc.) and some have no marbles at all. You know that 2 of the 5 boxes contain no marbles at all. No other information is given.

Using the poisson distribution, approximately how many marbles are there estimated to be total in the 5 boxes?

How would any of you guys would go about solving this problem?
 
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Nevermind, I figured it out.

Not sure how to delete this post though...
 

Thread 'Deductive proof in logic formal systems'

I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...
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