(Solution) - The lifetime of a cooling fan in hours that is -(2025 Original AI-Free Solution)

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The lifetime of a cooling fan, in hours, that is used in a computer system has the Weibull distribution with ? = 1.5 and ? = 0.0001.
a. What is the probability that a fan lasts more than 10,000 hours?
b. What is the probability that a fan lasts less than 5000 hours?
c. What is the probability that a fan lasts between 3000 and 9000 hours?