Question

If the mean and variance of a variable following binomial distribution are 16 and 8 respectively, then find $P(X > 0)$.

• A. $(1/2)^{32}$
• B. $1 - (1/2)^{32}$
• C. $(1/2)^{16}$
• D. $1 - (1/2)^{16}$

Hint:

To quickly find $n$ and $p$ in a Binomial distribution, use $q = \text{Variance}/\text{Mean}$. Once you have $q$ and $n$, the probability $P(X=0)$ is simply $q^n$.

Answer 1

The Correct Option is B