What is the probability distribution probability density of, Mechanical Engineering

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What is the probability distribution probability density of

Maxwell-Boltzmann distribution

In the near future we will derive the Maxwell-Boltzmann distribution for the velocities (or the momenta) of gas particles. The probability density for the x-component of the velocity is

1. What is the value of the normalization constant A?

2. What is the probability density for the velocity v = (v_x, v_y, v_z)?

3. What is the probability distribution (probability density) of the speed (magnitude of the velocity)?

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Mechanical Engineering: What is the probability distribution probability density of

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