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Suppose that a manufacturer wants to construct a 0.95-credible interval for the mean lifetime θ…

Suppose that a manufacturer wants to construct a 0.95-credible interval for the mean lifetime θ of an item sold by the company. A consulting engineer is 99% certain that the mean lifetime is less than 50 months. If the prior on A is an Exponential (λ) , then determine D based on this information