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=.
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=.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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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= }.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2da85fbe-896e-4a90-8e8a-33b13c65f5b0%2Fe6acdab2-067c-4d3d-9bb4-2ff07827dbba%2Foe7rjq_processed.jpeg&w=3840&q=75)
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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