2)- 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 u. This continuous distribution has density function: • f(y) = 2exp-y²/(2µ) (y > 0) Find the density function of the random variable X = y2. Can you name the distribution?
2)- 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 u. This continuous distribution has density function: • f(y) = 2exp-y²/(2µ) (y > 0) Find the density function of the random variable X = y2. Can you name the distribution?
2)- 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 u. This continuous distribution has density function: • f(y) = 2exp-y²/(2µ) (y > 0) Find the density function of the random variable X = y2. Can you name the distribution?
Could you show me step by step how to find the density function?
•The answer should be f(x)=1/2u•exp^-x/(2u)
It should be an exponential distribution, but why?
Transcribed Image Text:2)- 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 u. This continuous distribution has density function:
• f(y) = exp-yʻ/(2µ) (y> 0)
Find the density function of the random variable X = y2. Can you name the distribution?
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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