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$Let X have a Weibull distribution with parameters αand β, so E(X)=β·Γ(1 1 / α) V(X)=β^2{Γ(1 2 / α)-[Γ(1 1 / α)]^2} a. Based on a random sample X1, …, Xn, write equations for the method of moments estimators of βand α. Show that, once the estimate of αhas been obtained, the estimate of βcan be found from a table of the gamma function and that the estimate of αis the solution to a complicated equation involving the gamma function. b. If n=20, x̅=28.0, and ∑xi^2=16,500, compute the estimat$

Let X have a Weibull distribution with parameters αand β, so E(X)=…

The time to failure of a relay follows a Weibull distribution with alpha = 4 years, beta = 0.6. Find the following: a) Probability of failure after 1 year b) Probability of failure after 10 years c) The mean time to failure. (Show all steps in calculations)

The time to failure of a relay follows a Weibull distribution with alpha …

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