network profile
| bio | website | |
|---|---|---|
| location | ||
| age | ||
| visits | member for | 1 year, 6 months |
| seen | Mar 19 '12 at 9:38 | |
| stats | profile views | 10 |
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Dec 21 |
revised |
Rolling dice problems added 18 characters in body |
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Dec 21 |
revised |
Rolling dice problems added 802 characters in body; edited title |
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Dec 17 |
comment |
Rolling dice problems @whuber:That was helpful! Thank you! In fact $w(i) = \sum_{j=0}^{i-1} (-1)^j(i-j)^n{i \choose j}=S(n,i)i!$. And we can proceed from there to write out explicit expressions for subsequent computations. |
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Dec 16 |
asked | Rolling dice problems |
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Nov 26 |
awarded | Supporter |
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Nov 26 |
accepted | Proof for a binomial equation |
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Nov 26 |
comment |
Light bulb color problem :That's helpful. It's the same formula as here stats.stackexchange.com/questions/18975/… , only in slight different notations. But to complete this rigorous proof, you still have to show $n=2k$ and $n=2k-1$ entail same correct probability. |
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Nov 26 |
comment |
Proof for a binomial equation :Yes, that is it! Thank you! |
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Nov 26 |
comment |
Proof for a binomial equation @varty:$C_{2k}^k$ is the situation when there're equal numbers of flashes of red and blue (where each color has k flashes). Left hand side is the probability you guess correctly under best strategy when you decide to observe $2k-1$ times; RHS is the probability you when you decide to observe $2k$ times. |
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Nov 26 |
awarded | Editor |
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Nov 26 |
revised |
Proof for a binomial equation added 273 characters in body |
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Nov 26 |
asked | Proof for a binomial equation |
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Nov 25 |
awarded | Scholar |
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Nov 25 |
comment |
Light bulb color problem @Henry: Thank you! |
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Nov 25 |
accepted | Light bulb color problem |
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Nov 25 |
comment |
Light bulb color problem @Henry:"If there is a majority of one colour after 2k flashes then the majority must be even and at least 2" I may have misunderstood your point, but why must it be even? For example if k=10 and red is observed 11 times and blue 9 times, where does evenness come from? |
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Nov 25 |
awarded | Student |
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Nov 25 |
asked | Light bulb color problem |
