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Suppose that the lifetime of a component (in hours) is modeled with a Weibull distribution with...

Suppose that the lifetime of a component (in hours) is modeled with a Weibull distribution with β = 2 and δ = 4000. Determine the following in parts (a) and (b):

  1. P(X > 5000)
  1. P(X > 8000|X > 3000)
  1. Comment on the probabilities in the previous parts compared to the results for an exponential distribution.

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