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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 }

Question 12

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Let the moment generating function of a random variable X be given by MX(t)=(34et+14)9M _ { X } ( t ) = \left( \frac { 3 } { 4 } e ^ { t } + \frac { 1 } { 4 } \right) ^ { 9 } . Find P(X>7).

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