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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.

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