If X∼Binomial(10,0.5)X \sim Binomial(10, 0.5)X∼Binomial(10,0.5), what is the probability P(X=5)P(X=5)P(X=5)?
(105)(0.5)10\binom{10}{5} (0.5)^{10}(510)(0.5)10
(105)(0.5)5\binom{10}{5} (0.5)^5(510)(0.5)5
0.5100.5^{10}0.510
1−(105)(0.5)101 - \binom{10}{5} (0.5)^{10}1−(510)(0.5)10