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.
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Related Book For 
Applied Statistics And Probability For Engineers
ISBN: 9781118539712
6th Edition
Authors: Douglas C. Montgomery, George C. Runger
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