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A response variable y has the exponential distribution f(y) = 1 e y/, y > 0, where is a positive constant. The distribution of y

A response variable y has the exponential distribution f(y) = 1 e y/, y > 0, where is a positive constant. The distribution of y lies in the exponential family f(y) = exp y b() + S(y, ) for some functions b() and S(y, ) and parameters and . Find b(), and then calculate b(2.5)

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