The velocity of a particle in a gas is a random variable X with probability distributionfx(x) = 32x²e-4xThe kinetic energy of the particle is Y = 1/mX². Suppose that the mass of the particle is 64 yg.Find the probability distribution of Y. (Do not convert any units.)x >0.

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A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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The velocity of a particle in a gas is a random variable X with probability distribution fx(x) = 32x²e-4x x >0. The kinetic energy of the particle is Y = 1mX². Suppose that the mass of the particle is 64 yg. Find the probability distribution of Y. (Do not convert any units.)