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If the moment-generating function of X is M(t) = exp(3 t + 12.5 t2) = e3...

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Basic Math

If the moment-generating function of X is M(t) = exp(3 t + 12.5t2) = e3 t + 12.5 t2.

a. Find the mean and the standard deviation ofX.

Mean =

standard deviation =

b. Find P(4 < X < 16). Round your answerto 3 decimal places.

c. Find P(4 < X2 < 16). Roundyour answer to 3 decimal places.

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