How does the Boltzmann statistic relate to systems at high temperatures?

[Cosmossos]

hello
why is the expression for Ni correct? How come?
See this page please

http://en.wikipedia.org/wiki/Maxwell–Boltzmann_statistics

 

[Naty1]

Because the two derivations provided at your reference work!

"...most systems at high temperatures obey the classical (Maxwell–Boltzmann) limit unless they have a very high density, as for a white dwarf. Both Fermi–Dirac and Bose–Einstein become Maxwell–Boltzmann statistics at high temperature or at low concentration..."


It also depends on what your mean by "correct"..."approximately correct" would perhaps be a better description... did you see the "limits of applicability"...??