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4. (a) A random variable Z is said to follow the Laplace (double exponential) distribution if it has the probability density function Jz (z)

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4. (a) A random variable Z is said to follow the Laplace (double exponential) distribution if it has the probability density function Jz (z) = 18ANA8 where a > 0 is a constant. Show that the moment generating function of the Laplace distribution is given by a M(1)= a-1 -a

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