Given that XXX has a moment generating function MX(t)=(0.4+0.6et)5M_X(t) = (0.4 + 0.6e^t)^5MX(t)=(0.4+0.6et)5, what is the probability P(X=0)P(X=0)P(X=0)?
0.450.4^50.45
0.650.6^50.65
5⋅0.44⋅0.65 \cdot 0.4^4 \cdot 0.65⋅0.44⋅0.6
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