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Problem 10 (9 points) The lifetime (in hours) of a replacement part for a machine is modeled as having a Weibull distribution with parameters a- V2 and ß 20. 2pts i. What are the mean and standard deviation of this Weibull distribution? σ= (round to nearest integer) 2pts . Determine the probability that a single replacement part provides over 25 hours of operation for the machine. P(X > 25) iii. We currently have a supply of 49 replacement parts. Use the central limit theorem to approximate the chance this supply will provide a total of over 3000 hours of operation for the machine. P(To > 3000) E[To] = StDev[To]-

math   Statistics-And-Probability   
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