The probability density function (pdf) of a double exponential random vairable X is as follows: f(x) = 1 -시피 -00 < x < 0 2 where A> 0. Derive the moment-generating function Mx(t).

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The probability density function (pdf) of a double exponential random vairable X is as follows:
1
-시피
,-00 < x <0
2
where A> 0.
Derive the moment-generating function Mx(t).
Use Mx (t) derived in (A) to compute the mean and variance of X.
Transcribed Image Text:The probability density function (pdf) of a double exponential random vairable X is as follows: 1 -시피 ,-00 < x <0 2 where A> 0. Derive the moment-generating function Mx(t). Use Mx (t) derived in (A) to compute the mean and variance of X.
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