Let the moment generating function of a random variable X be given by $M _ { X } ( t ) = \left( \frac { 3 } { 4 } e ^ { t } + \frac { 1 } { 4 } \right) ^ { 9 }$ . Find P(X7).

Question

Let the moment generating function of a random variable X be given by $M _ { X } ( t ) = \left( \frac { 3 } { 4 } e ^ { t } + \frac { 1 } { 4 } \right) ^ { 9 }$ . Find P(X>7).

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The Answer of Let the moment generating function of a random variable X be given by $M _ { X } ( t ) = \left( \frac { 3 } { 4 } e ^ { t } + \frac { 1 } { 4 } \right) ^ { 9 }$ . Find P(X>7).

Let the Moment Generating Function of a Random Variable X MX(t)=(34et+14)9M _ { X } ( t ) = \left( \frac { 3 } { 4 } e ^ { t } + \frac { 1 } { 4 } \right) ^ { 9 }MX​(t)=(43​et+41​)9

Let the Moment Generating Function of a Random Variable X $M _ { X } ( t ) = \left( \frac { 3 } { 4 } e ^ { t } + \frac { 1 } { 4 } \right) ^ { 9 }$