Let XXX have the moment generating function 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=0)P(X=0)P(X=0)?
0.2^5
0.8^5
5 \cdot 0.2^4
1