For a random variable XXX, the Moment Generating Function is MX(t)=(0.3+0.7et)5M_X(t) = (0.3 + 0.7e^t)^5MX(t)=(0.3+0.7et)5. What is P(X=1)P(X=1)P(X=1)?
5×(0.3)4×(0.7)5 \times (0.3)^4 \times (0.7)5×(0.3)4×(0.7)
(0.7)5(0.7)^5(0.7)5
5×(0.7)4×(0.3)5 \times (0.7)^4 \times (0.3)5×(0.7)4×(0.3)
0.70.70.7