Let X be a continuous random variable with probability density function given by fx(x) = = 4.ce 1. Find the moment generating function Mx (t) of X 2. Hence, or otherwise find c 3. Find the mean of X 4. Find the variance of X xER, where constant c> 0.

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Let X be a continuous random variable with probability density function given by ƒx(x) = 4 · ce¯4|ª|, x € R, where constant c > 0.
1. Find the moment generating function Mx (t) of X
2. Hence, or otherwise find c
3. Find the mean of X
4. Find the variance of X
Transcribed Image Text:Let X be a continuous random variable with probability density function given by ƒx(x) = 4 · ce¯4|ª|, x € R, where constant c > 0. 1. Find the moment generating function Mx (t) of X 2. Hence, or otherwise find c 3. Find the mean of X 4. Find the variance of X
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