What are the mean and standard deviation of a binomial probability distribution with n=17  and p=21/32 ?

Feb 18, 2016

The mean of X is u = np
The standard deviation of X is $\sum = \sqrt{n p \left(1 - p\right)}$

Explanation:

If X has a binomial distribution with n trials and probability of success p on each trial, then:

1. The mean of X is u = np
2. The variance of X is ${\left(\sum\right)}^{2} = n p \left(1 - p\right)$
3. The standard deviation of X is $\sum = \sqrt{n p \left(1 - p\right)}$