Calculate the probability density for the x component of the velocity of a sample of oxygen molecules at 300K in the interval $0<|v_x|<1000$m/s. Represent the resulting function.

Solution:

\begin{equation} g(v_x)=(1.04289x10^{-3}s/m)e^{(-6.4145x10^{-6}m^{-2}s^2)v_{x}^{ 2}} \end{equation}