What is the variance of a binomial distribution for which n = 100 and p = 0.20?

The variance of a binomial distribution can be calculated using the formula:

Variance (σ²) = n * p * (1 – p)

In this case, we have:

• n = 100 (the number of trials)
• p = 0.20 (the probability of success on each trial)

Now, we can substitute the values into the formula:

Variance = 100 * 0.20 * (1 - 0.20)
         = 100 * 0.20 * 0.80
         = 100 * 0.16
         = 16

Therefore, the variance of the binomial distribution is 16.