Researchers at the University of California (Berkeley) have developed a switched-capacitor circuit for generating pseudorandom signals (International Journal of Circuit Theory and Applications, May/June 1990). The intensity of the signal (voltage), Y, is modeled using the Rayleigh probability distribution with mean μ. This continuous distribution has density function:

Find the density function of the random variable W = Y². Can you name the distribution?

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f(y) = - exp /(24) (y > 0) еxp -y/(24)