My bad. David won against Ernest, lost to Chuck (which means he has 1.5 points). Chuck then won against David and tied against Ernest leaving him at 2 points. This means that Ernest tied with Chuck and Bernie and lost his matches against David and Alan.
[Moderator's note: This leads to]...
I apologize for nitpicking. I am unsure how to find the values for a and b. When I did my substitution with p and u I got##f(t)=\frac{-u \cdot a + u \cdot b + a}{(\frac{1}{p \cdot(p-1)}+\frac{1}{p}+u \cdot a - u \cdot b - a)\cdot(\frac{1}{p \cdot (p-1)}+\frac{1}{p})} ##
but I am unable to go on...
I agree with your wolfram link since that included the fraction ## \frac{1}{C} - \frac{1}{D+C}## but what you wrote in the post was ##\frac{1}{D} - \frac{1}{D+C}##
Not sure If I understand. I mean in PT N(t) is number of submissions received by day t whereas N(t) in my problem set is the amount of work done after t days. To me those descriptions of N(t) are quite similar, but not exactly the same.
I actually wondered the same thing. The picture I posted is all the information that is given. Although the problem set is based of a model which can be found in this edition of PT https://physicstoday.scitation.org/doi/pdf/10.1063/PT.3.3064
I'm not quite sure if my problem is considered a calculus problem or a statistics problem, but I believe it to be a statistics related problem. Below is a screenshot of what I'm dealing with.
For a) I expressed f(t) in terms of parameters p and u, and I got: $$f(t)=\frac{-u \cdot a + u \cdot...