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The lifetime of a brake can be modeled as a Weibull Distribution with a ƛ of...

The lifetime of a brake can be modeled as a Weibull Distribution with a ƛ of 1 per 50000 miles. The probability that a brake lasts longer than 30000 miles is 0.8. Find the value of parameter a

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Answer #1

1/500000.00002

F(x)= 1 - e-cr

Given : P(X>30000) = 0.8

Now we have x= 30000 , \lambda = 0.00002

On substituting in F(x), we get c= 1.609Fx) - a n2 I-e We have PCX 30, 00o)-D.8 -a( 30000 e -ax(3 0000 e 1-0.8 1 e axc30,000 0OD2 natual an both he side en C0,2) nle

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