The rayleigh probabilty density function is the special


The Rayleigh probabilty density function is the special case of the Weibull probability density function, when alpha a, the Weibull shape parameter, is 2. that is, a Rayleigh random variable, X has probability density function. f(x)=( 2x) (e^-x^2/b)/B x> or equal to 0 and 0 elsewhere , and where B>0. the Rayleigh probability density function is a single parameter probability density function and is important as a model for wind speed, and for example is used in estimating energy recovery for a wind turbine.

a) find E)X

b) find Var (X) .

c) If B = 100

d) find P(X<10)

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