X Is a Random Variable with Moment Generating Function $M _ { X } ( t ) = \left( \frac { 1 } { 4 } + \frac { 1 } { 4 } e ^ { t } + \frac { 1 } { 2 } e ^ { 2 } t \right) ^ { 8 }$

Short Answer

X is a random variable with moment generating function $M _ { X } ( t ) = \left( \frac { 1 } { 4 } + \frac { 1 } { 4 } e ^ { t } + \frac { 1 } { 2 } e ^ { 2 } t \right) ^ { 8 }$ Find Var(3X) and P(X≤2).