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An exponential density function of random variable ? is given by: ??(?)={???−??(?−?),?>??, ????????? Determine Moment Generating...

An exponential density function of random variable ? is given by: ??(?)={???−??(?−?),?>??, ?????????
Determine Moment Generating Function ?(?) (MGF) which is given by ?(?)=?[???]. Use this MGF to examine and find the Variance of ? (Hint: Find 1st and 2nd order moments first).

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