Question

What are the mean and standard deviation of a binomial probability distribution with `n=5` and `p=1/32`?

Answer 1

For the Binomial distribution ...

mean `=np`
variance `=npq`

Explanation:

mean `=np = 5xx1/32=5/32`

variance `=npq=5xx1/32xx(1-1/32)=`155/1024

standard deviation `=sqrt(variance)=sqrt(155/1024)~~0.389`