Wikipedia:Reference desk/Archives/Mathematics/2016 September 4

Mathematics desk
< September 3 << Aug | September | Oct >> September 5 >
Welcome to the Wikipedia Mathematics Reference Desk Archives
The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages.


September 4

edit

Translation of Bourbaki to English

edit

Bourbaki's Algebra chapters 1–3 and 4–7 have been translated to English. Were the remaining chapters translated (most particularly N. Bourbaki, Formes Sesquilinéaires et Quadratiques)? —Quondum 01:29, 4 September 2016 (UTC)[reply]

The probability that n experiments have k successes, when the success probability is p,

 

satisfies the formula

 

I wonder how the latter formula can be proved without reference to the former formula?

Bo Jacoby (talk) 18:01, 4 September 2016 (UTC).[reply]

I have not gone through the details, but it seems promising to me to use the simple (i.e. obvious) rule of recursion
 
plus suitable boundary conditions, and then use your formula with induction. By "boundary conditions", I am referring to the cases   and  , which must be proved separately. —Quondum 21:19, 4 September 2016 (UTC)[reply]