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Suppose that a manufacturing process produces batteries whose lifelengths are known to be…

 Suppose that a manufacturing process produces batteries whose lifelengths are known to be exponentially distributed but with the mean of the distribution completely unknown. Describe the statistical model for a single observation. Is it possible to parameterize this model by the mean? Is it possible to parameterize this model by the variance? Is it possible to parameterize this model by the coefficient of variation (the coefficient of variation of a distribution equals the standard deviation divided by the mean)?