Activity for Peter Taylor‭

Type	On...	Excerpt	Status	Date
Comment	Post #278270	Note to site admins: I haven't wrapped the multiline stuff in `$$` because it was rendering identically in the preview. IMO it would be a perfectly reasonable approach to look for/write a Markdown plugin to treat the MathJax delimiters `$` and `$$` as start and end delimiters of a section where escap... (more)	—	over 3 years ago
Comment	Post #278270	@Derek, now that you mention it, I'd noticed that I had to escape the backslashes for backslash-curlybrace to get the multiset notation to work. I should have put 2 and 2 together myself. Thanks for the diagnosis. (more)	—	over 3 years ago
Comment	Post #278269	@tommi, see https://math.codidact.com/q/278270 (more)	—	over 3 years ago
Comment	Post #278141	The case $k=1$ is also easy: we take $X = \max_{i=1}^n(X_i)$ and observe that for $x \in [1, s]$, $P(X \le x) = \left(\frac{x}{s}\right)^n$ because each independent die must roll no more than $x$. From that we can get $P(X = x)$ in closed form and $E(X)$ in terms of Faulhaber's formulas. (more)	—	over 3 years ago