Assume that x is the diameter of a particle in air. The diameter of the air particles

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Assume that x is the diameter of a particle in air. The diameter of the air particles follows the following continuous distribution.

f(x)=2a/x^3

ax2

a) Calculate the value of a so that f(x) is a probability distribution. Remember that the cumulative probability between a x 2 will be equal to 1.

b) Calculate the cumulative probability function F(x) for every real domain of the variable x.

c) Calculate the average and standard deviation of the diameter of the particles.

Posted Date: May 17, 2024 10:05 PM

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Assume that x is the diameter of a particle in air. The diameter of the air particles

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