Consider a random variable XXX with MGF MX(t)=(0.2+0.8et)5M_X(t) = (0.2 + 0.8e^t)^5MX(t)=(0.2+0.8et)5. What is P(X=1)P(X=1)P(X=1)?
5(0.2)4(0.8)5(0.2)^4(0.8)5(0.2)4(0.8)
5(0.2)(0.8)45(0.2)(0.8)^45(0.2)(0.8)4
(0.8)5(0.8)^5(0.8)5
(0.2)5(0.2)^5(0.2)5