Mean and Standard Deviation for the Binomial Distribution

The binomial probability is a discrete probability distribution, with appears frequently in applications, that can take integer values on a range of $[0, n]$, for a sample size of $n$. The population mean is computed as:

$$\mu = n \cdot p$$

Also, the population variance is computed as:

$$\sigma^2 = n\cdot p \cdot (1-p)$$

and the population standard deviation is

$$\sigma = \sqrt{ n\cdot p \cdot (1-p)}$$

If you what you need to do is to actually computer probabilities, check our binomial distribution curve calculator .