Question

Suppose that the lifetime of a component (in hours), X is modelled with a Weibull distribution with a = 1.9. and λ = 1/4000.

Determine the value for P(X >3000), Please enter the answer to 3 decimal places.

Answer 1

X is modelled with a Weibull distribution with a = 1.9. and λ = 1/4000.

the CDF of a Weibull random variable X be:-

   , as we know that,

   , here, and

the value for P(X >3000) be:-

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