A random variable y has a rayleigh distribution

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Reference no: EM13121361

Probability- Rayleigh Distributions

A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by

f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0

f(y)=0 , elsewhere

a) Show that mean=(1/2)*squareroot(pi/alpha)

b) Show that the variance =(1/alpha)*(1-pi/4)

Reference no: EM13121361

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