What Is the Most Likely Speed for a Fermion Versus Temperature?

[PennyGirl]

Homework Statement

(a) If you had a particle of mass 9.1*10^-31 kg, plot its most likely speed versus temperature, in a range from 0 to 6000 K, assuming it behaved as a classical particle.
(b) repeat part (a) if the particle behaved as a fermion.

Homework Equations

The Attempt at a Solution

For part (a), I know that to find the most likely speed, I have to do d F(v)/dv =0 and solve for v. Doing this, I got V = sqrt(2*k*T/m). and then I was able to plot this. I was able to do this because I have F(v).
However, for part (b) , I only have that F(E) = 1/(exp(E/(k*T))+1) (assuming G(E) =1 and the constant in front of exp =1 to make the math easier...I was told this was okay to do)

 

[_coyote_]

and I'm not sure how to find the most likely speed since I don't have F(v).Any help would be greatly appreciated, thank you.