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X Is a Random Variable with Moment Generating Function MX(t)=(14+14et+12e2t)8M _ { X } ( t ) = \left( \frac { 1 } { 4 } + \frac { 1 } { 4 } e ^ { t } + \frac { 1 } { 2 } e ^ { 2 } t \right) ^ { 8 }

Question 2

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X is a random variable with moment generating function MX(t)=(14+14et+12e2t)8M _ { 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).

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