6-59. For each of the following moment-generating functions, find the associated probability mass function:

(a) mX(t) = 0.0156(1 − 0.75et)−3, t < 0.2877

(b) mX(t) = 0.45et(1 − 0.55et)−1, −∞ < t < +∞

(c) mX(t) = [0.60et + 0.04]10, −∞ < t < +∞

(d) mX(t) = e−2e2et , −∞ < t < +∞

(e) mX(t) = 0.70et + 0.30, −∞ < t < +∞

(f) mX(t) = et(1 − e4t) [4(1 − et)]−1 , t
= 0