Let X∼Binomial(5,0.5)X \sim \text{Binomial}(5, 0.5)X∼Binomial(5,0.5). What is P(X=5)P(X=5)P(X=5)?
0.550.5^50.55
5⋅0.555 \cdot 0.5^55⋅0.55
111
0.031250.031250.03125