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Part a) Components have lifetimes which follow an exponential distribution with mean 700 hours.
i) Find the probability that an individual component has a lifetime exceeding 850 hours.
ii) In an experiment the lifetimes of 100 components are recorded, use the central limit theorem and the properties of the exponential distribution to find the probability that the mean lifetime for these 100 components exceeds 850 hours.
Part b) Components have lifetimes which are thought to follow approximately an exponential distribution with unknown mean.
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