# Mean and Standard Deviation for the Binomial Distribution

Instructions: Compute the Mean and Standard Deviation for the Binomial distribution. Please type the population proportion of success p, and the sample size n:

Population proportion (p) =
Sample Size (n) =

#### 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.

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