How Do You Calculate the Probability Density Function in a Classical Ideal Gas?

[chem_nerd09]

Homework Statement

Classical Ideal Gas in 3 Dimensions
In a classical ideal gas, we treat molecules as non-interacting point particles moving in the x,y, and z directions. These particles' velocities (in each respective direction) are statistically independent:

p(Vx,Vy,Vz)=C*exp-(Vx^2+Vy^2+Vz^2)

The energy is E=1/2*m*|v|^2

(a) Find P(E), the overall probability that these gas particles will have a KE \<E.
(b) By noting that dP=p(E)dE, derive the probability density p(E).

Homework Equations

No clue

The Attempt at a Solution

Don't even know how to start...any tips would be much appreciated

 

[Ygggdrasil]

Can you re-write the expression for p(Vx,Vy,Vz) so that the probability depends on E rather than Vx, Vy, and Vz?