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seen Jul 18 at 7:47

Sep
29
accepted If $X\sim \exp(\lambda)$ and $Y\sim \exp(\mu)$ then $P(X\leq Y)=\frac{\lambda}{\lambda+\mu}$. Is there an intuitive interpretation for this fact?
Sep
29
comment If $X\sim \exp(\lambda)$ and $Y\sim \exp(\mu)$ then $P(X\leq Y)=\frac{\lambda}{\lambda+\mu}$. Is there an intuitive interpretation for this fact?
@Did that's a fantastic way to put it. If you made this an answer I would accept it.
Sep
19
asked If $X\sim \exp(\lambda)$ and $Y\sim \exp(\mu)$ then $P(X\leq Y)=\frac{\lambda}{\lambda+\mu}$. Is there an intuitive interpretation for this fact?
Sep
15
revised Intro to proofs in real analysis 3
translated notation to latex
Sep
15
suggested suggested edit on Intro to proofs in real analysis 3
Sep
10
comment Is it a vector space?
@realmatrix note, "it is the equation of a line" is not sufficient to show that it is a vector space. $y=x+1$ is the equation of a line, but the points satisfying that equation do not form a vector space.
Sep
4
answered What does the sentence “The only sub-algebras of $\mathbb{R}^{2}$ are $0,\mathbb{R}^{2},\mathbb{R}(0,1),\mathbb{R}(1,0),\mathbb{R}(1,1)$” mean?
Aug
2
accepted Does the probability distribution associated with this pdf have a name?
Aug
2
comment Does the probability distribution associated with this pdf have a name?
beautiful, thank you so much!
Aug
2
asked Does the probability distribution associated with this pdf have a name?
Jul
29
comment How is this step in the proof that $E[X]=\sum_{x=1}^\infty P(X\geq x)$ justified?
thank you, the analogy with integration really drilled it home.
Jul
29
accepted How is this step in the proof that $E[X]=\sum_{x=1}^\infty P(X\geq x)$ justified?
Jul
29
asked How is this step in the proof that $E[X]=\sum_{x=1}^\infty P(X\geq x)$ justified?
Jul
19
accepted Prove that if $p_1,\dots,p_k$ are distinct odd primes then 1 has $2^k$ square roots $\mod m$ where $m$ is the product of the primes.
Jul
19
accepted If $x\equiv y \pmod{\gcd(a,b)}$, show that there is a unique $z\pmod{\text{lcm}(a,b)}$ with $z\equiv x\pmod a$ and $z\equiv y\pmod b$
Jul
4
comment Notation of random variables
@Trismegistos in this context $X^-1(S)$ refers to the preimage of $X$, which always exists.
Jul
4
revised Notation of random variables
added 272 characters in body
Jul
4
answered Notation of random variables
Jul
4
accepted A die is rolled until a 6 comes up. Should the sample space of this experiment contain the set of all infinite sequences which do not contain a 6?
Jul
4
comment A die is rolled until a 6 comes up. Should the sample space of this experiment contain the set of all infinite sequences which do not contain a 6?
@AndréNicolas Not a homework problem, just self study with a textbook that doesn't have solutions. I was just curious as to whether there is a "right" way to do this. It seems like the answer is no.