4. The probability that the x-velocity component of particles in a gas lie in the range V to (v and dv) is P[vx|dvx = A-mv/2kB dux where A = 1/2 m (2TKUT). (i) Explain (without proof) how this result follows directly from the Boltzmann relation, which gives the probability of a state of energy E being occupied, given by P[E] x e-E/kT. In particular, explain the origins of the exponent and the constant A. [4 marks]