If X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p), find the value of ppp such that the variance is maximized for a fixed nnn.
p=0.25p = 0.25p=0.25
p=0.5p = 0.5p=0.5
p=0.75p = 0.75p=0.75
p=1p = 1p=1