Question

What are the mean and standard deviation of a binomial probability distribution with `n=12` and `p=15/23`?

Answer 1

Mean `=7 19/23`
SD `=1.65`

Explanation:

Given -

`n=12`
`p=15/23`

`q=1-p`
`q=1-15/23=8/23`

Mean `=np=12xx15/23=7 19/23`
SD `=sqrt(npq)=sqrt(12 xx 15/23 xx 8/23)=sqrt(2 382/529)=1.65`