Homework Statement
"You are now going to show that, in the Gaussian distribution P(x)=Ae^(-Bx^2) the constant A is equal to sqrt(B/Pi). Do this by insisting that the sum over probabilities must equal unity, Integral(P(x)dx)=1. To make this difficult integral easier, frst square it then combine...
In the formula,
PN(n) = N!/(n!(N-N)!) (p^n)(q^(N-n))
N represents the number of elements, but what exactly does little n represent?
Thanks for any help!
I am trying to solve for probabilities in systems with a large number of elements. To deal with the large factorials that appear in these formulas, I use Stirling's formula, lnm!=mlnm-m+(1/2)ln(2πm). My problem is that after I get the approximation and try to plug it into the probability...
I am a sophomore physics and mathematics major at a very small, private liberal arts school. I currently have a 3.82 cumulative GPA and have taken all the intro level physics and math classes, and am now entering upper level classes. I am a white female. I work as a physics/math tutor and also...