The variance will reach a maximum in a binomial distribution

The variance will reach a maximum in a binomial distribution when:

A = 1 and 1 - = 0.

B = ¼ and 1 - = ¾.

C = ½ and 1 - = ½.

D = 0 and 1 - = 1.

Solution

variance = *(1-)*n

And this is maximum at

C = ½ and 1 - = ½.