A binomial distribution has mean 4 and variance 3. What is $P(X = 0)$?

Explanation

1. 01

   $q = \frac{3}{4}$, so $p = \frac{1}{4}$ and $n = \frac{4}{1/4} = 16$.

2. 02

   $P(X = 0) = q^{n} = \left(\frac{3}{4}\right)^{16}$.