Paul A Jungwirth
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Next privilege 250 Rep.
 Apr 24 awarded Notable Question Apr 21 comment If $P = NP \cap coNP$, can $P \ne NP$? Whew, I'm glad you made that edit! :-) Apr 21 accepted If $P = NP \cap coNP$, can $P \ne NP$? Apr 21 awarded Commentator Apr 21 comment If $P = NP \cap coNP$, can $P \ne NP$? @Qudit if your comment were an answer I could accept it! :-) Apr 21 asked If $P = NP \cap coNP$, can $P \ne NP$? Jan 23 awarded Student Jan 23 accepted Why is every coset in G a subset of G? Jan 23 comment Why is every coset in G a subset of G? Oh, you are right! p.19: "An operation $*$ on $A$ is a rule which assigns to each ordered pair $(a, b)$ of elements of $A$ exactly one element $a * b$ in $A$." So all operations are closed, but in addition a subgroup's operations are more tightly closed. Thanks! Jan 23 comment Why is every coset in G a subset of G? @alex.jordan Really? My book says that a group means (1) $*$ is associative, (2) there is a $e$, and (3) every $a$ in $G$ has an inverse. A subgroup is a nonempty subset of a group that is closed with respect to multiplication and inverses. Is there a proof that every group is closed? There are groups that are not subgroups, right? Jan 23 asked Why is every coset in G a subset of G? Mar 31 awarded Popular Question Nov 8 comment How many tries to get at least k successes? If I want to read more about the mathematics of binomial distributions, where is a good place to look? I've encountered them in statistics, but what would be the math course that introduces them? Probability? Nov 8 awarded Scholar Nov 8 awarded Supporter Nov 8 comment How many tries to get at least k successes? Thank you! I'll need to digest the math a bit more, but the R function gives correct results for a few examples I tried. Nov 8 accepted How many tries to get at least k successes? Nov 8 comment How many tries to get at least k successes? Thank you for your help! I can't tell how this differs from what I wrote about finding $P$ for exactly $k$ successes, so how does it get me closer to a solution for at least $k$ successes? Perhaps you could expand on it a bit to help me understand? Nov 7 comment How many tries to get at least k successes? In other words, I want to use some algebra to flip my equation from $P' = ...k...n...s...$ to $n = ...k...P'...s...$. Nov 7 comment How many tries to get at least k successes? @Jean-Sébastien Suppose I want at least a 50% chance of getting $k$ or more successes. How many tries do I need so that the probability is 0.5?