Question: (The Maxwell distribution). Denote by = (1, 2, 3)T the velocity vector of a gas particle. Following Maxwell, assume that v is a three-dimensional random variable whose probability density function, h(), satisfies the following assumptions.
(i) vj (j = 1, 2, 3) are identically distributed independent random variables.
(ii) The probability density function of v is a function of the kinetic energy of a particle, that is.