In: Math
If the moment-generating function of X is M(t) = exp(3 t + 12.5 t2) = e3 t + 12.5 t2.
a. Find the mean and the standard deviation of X.
Mean =
standard deviation =
b. Find P(4 < X < 16). Round your answer to 3 decimal places.
c. Find P(4 < X2 < 16). Round your answer to 3 decimal places.