Let X be a random variable with moment generating function $M _ { X } ( t ) = \frac { 4 } { \left( 2 - \frac { t ^ { 2 } } { 3 } \right) ^ { 2 } }$ for t

Question

Let X be a random variable with moment generating function $M _ { X } ( t ) = \frac { 4 } { \left( 2 - \frac { t ^ { 2 } } { 3 } \right) ^ { 2 } }$ for t<2. Find the moments of X.

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The Answer of Let X be a random variable with moment generating function $M _ { X } ( t ) = \frac { 4 } { \left( 2 - \frac { t ^ { 2 } } { 3 } \right) ^ { 2 } }$ for t<2. Find the moments of X.

Let X Be a Random Variable with Moment Generating Function MX(t)=4(2−t23)2M _ { X } ( t ) = \frac { 4 } { \left( 2 - \frac { t ^ { 2 } } { 3 } \right) ^ { 2 } }MX​(t)=(2−3t2​)24​

Let X Be a Random Variable with Moment Generating Function $M _ { X } ( t ) = \frac { 4 } { \left( 2 - \frac { t ^ { 2 } } { 3 } \right) ^ { 2 } }$