# What are the mean and standard deviation of a binomial probability distribution with n=5  and p=10/17 ?

Feb 17, 2016

Mean is $2.9412$ and Standard Deviation is $1.1$

#### Explanation:

Mean ($n \cdot p$ ) of a Binomial probability distribution with $n = 5$ and $p = \frac{10}{17}$ is given by

$5 \cdot \frac{10}{17} = \frac{50}{17} = 2.9412$

Standard deviation of a Binomial probability distribution is given by $\sqrt{n \cdot p \cdot q}$, where $q = 1 - p$. Hence, it is given by

$\sqrt{5 \cdot \frac{10}{17} \cdot \frac{7}{17}}$ i.e. $\frac{\sqrt{350}}{17}$ or $1.1$