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2. Suppose the lifetime in months of an engine has a Gamma distribution with a mean of 32 months and a standard deviation of 8

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2. Suppose the lifetime in months of an engine has a Gamma distribution with a mean of 32 months and a standard deviation of 8 months. (a) Find the probability that an engine's lifetime exceeds 24 months. Hint: Given that ,u : 32 and or : 8, can you nd 0: and B? (1)) Determine the median lifetime of an engine

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