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In a reactor safety study, the failure rate of a diesel generator can be described as having a lognormal distribution with the upper and lower

In a reactor safety study, the failure rate of a diesel generator can be described as having a lognormal distribution with the upper and lower 90% bounds of 3x10-2 and 3x10-4 respectively. If a given nuclear plant experiences 2 failures in 8,760 hours of operation, determine the upper and lower 90% bounds given this plant experience. (Consider the reactor safety study values as prior information.)

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