Suppose that X follows the Weibull distribution with pdf f(r) = Br-1e on r>0, %3D where B> 0. (a) By integrating using the substitution u = a, and checking what happens to the integration limits, show that E(X") = r (; +1). %3D (b) Calculate the numerical value of the variance of the Weibull distribution when B=.

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Suppose that X follows the Weibull distribution with pdf
f(r) = Br1e
on r> 0,
%3D
where B> 0.
(a) By integrating using the substitution u = , and checking what
happens to the integration limits, show that
E(X)-r (등+1).
%3D
(b) Calculate the numerical value of the variance of the Weibull distribution
when B= }.
Transcribed Image Text:Suppose that X follows the Weibull distribution with pdf f(r) = Br1e on r> 0, %3D where B> 0. (a) By integrating using the substitution u = , and checking what happens to the integration limits, show that E(X)-r (등+1). %3D (b) Calculate the numerical value of the variance of the Weibull distribution when B= }.
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