Question

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

Answer 1

Mean is `2.9412` and Standard Deviation is `1.1`

Explanation:

Mean (`n*p` ) of a Binomial probability distribution with `n=5` and `p=10/17` is given by

`5*10/17=50/17=2.9412`

Standard deviation of a Binomial probability distribution is given by `sqrt(n*p*q)`, where `q=1-p`. Hence, it is given by

`sqrt(5*10/17*7/17)` i.e. `sqrt350/17` or `1.1`