In the reactor safety study, the failure rate of a dieselgenerator can be described as having a lognormal distribution withthe upper and lower 90 % bounds of 3x10^-2 and 3x10^-4,respectively. a) Determine prior distribution in lognormaldistribution. b) The given nuclear plant experiences 2 failures in8,760 hours of operation. Determine the posterior distributionbased on Poisson distribution. c) Determine the upper and lower 90% bounds given this plant experience. (Consider the reactor safetystudy values as prior information.
