(*) Show the connection between the following probability distributions from statistical mechanics: f ( ) = A k / / ( ) exp 1

(*) Show the connection between the following probability distributions from statistical mechanics: f (ε ε ) = A k / / ( ) exp 1 ( T) − (Bose–Einstein), f (ε ε ) = A k / / ( ) exp 1 ( T) +

(Fermi–Dirac), f (ε ε ) = − A k exp / ( T) (Maxwell–Boltzmann) and the Bernegger distribution, and identify the values of

b, g for which you have the three cases.
Hint: Compare the probability distributions above not with the pdf of Bernegger distribution but with its survival probability 1− F x( ).