The velocity of a particle in a gas is a random variable V with probability distribution f

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The velocity of a particle in a gas is a random variable V with probability distribution fV (v) = av2 e–bv v > 0 where b is a constant that depends on the temperature of the gas and the mass of the particle. 

(a) Determine the value of the constant a.

(b) The kinetic energy of the particle is W = mV2 / 2. Determine the probability distribution of W.

Distribution
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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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