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The lifespan of a system component follows a Weibull distribution with α (unknown) and β=1. (hint:...

The lifespan of a system component follows a Weibull distribution with α (unknown) and β=1. (hint: start with confidence interval for μ)

f(x)=αβXβ-1 exp(-αXβ)

a.      Derive 92% large sample confidence interval for α.

b.      Find maximum likelihood estimator of α.

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