MHB Drawing Elliptic Abacus with pgfplots and tikz

[yakoum]

Could you help me please
With which function can we draw elliptic abacus in Statistic?
I want to draw this function with pgfplots, tikz
thank you
View attachment 4466

 

[I like Serena]

Could you help me please
With which function can we draw elliptic abacus in Statistic?
I want to draw this function with pgfplots, tikz
thank you

Hi yakoum! Welcome to MHB! (Smile)

Can you clarify what you're asking for?

Is it about how to create a tikz plot at all?
Or a tikz plot with axes like that?
Or is it about a specific set of functions? If so, which ones?

 

[yakoum]

I want to know with which function we can draw this graph(I don't know the function).
in Statistic, it concern binomial when we calculate confidence interval when nf<20 and n(1-f) <20
Is it clear?

 

[I like Serena]

I want to know with which function we can draw this graph(I don't know the function).
in Statistic, it concern binomial when we calculate confidence interval when nf<20 and n(1-f) <20
Is it clear?

Well... the confidence interval for a binomial distribution would be $np \pm \sqrt{np(1-p)}$, where $p$ is the probability of a success and $n$ is the number of trials.
But to be honest, I don't understand your graph yet. You have a $p$ there, which might be the probability of a success, but it could also be the p-value related to the confidence interval. The $f$ axis might be one or the other - I can't tell.
Either way, if I plot it myself, with some assumptions, I get graphs that are somewhat similar, but not the same.

Can you provide some more information?
What are the axes supposed to represent?