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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?
Nov
7
comment How many tries to get at least k successes?
Sure, it's easy enough to graph it, but what does that teach you? :-)