# What are the mean and standard deviation of a binomial probability distribution with n=150  and p=7/9 ?

Jan 8, 2016

mean $= n p$

standard deviation $= \sqrt{n p q}$

#### Explanation:

mean $= 150 \times \frac{7}{9} = \frac{350}{3} \approx 116.7$

standard deviation $= \sqrt{150 \times \frac{7}{9} \times \left(1 - \frac{7}{9}\right)} \approx 5.09$

hope that helped