# What are the mean and standard deviation of a binomial probability distribution with n=130  and p=3/4 ?

Nov 26, 2015

Mean is nxp and variance is nxpxq

#### Explanation:

Here n = 130

p =$\frac{3}{4}$
q = $\frac{1}{4}$
So mean = 130 x $\left(\frac{3}{4}\right)$ = $\frac{390}{4}$ = 97.5
Variance = 130 x $\frac{3}{4}$ x $\frac{1}{4}$ = $\frac{390}{16}$ = 24.375
Standard deviation = $\sqrt{v a r i a n c e}$ = $\sqrt{24.375}$