A hospital knows that 646 of the persons coming to the ER co

A hospital knows that .646 of the persons coming to the ER come for true emergencies . using any formula and the ninomial distribution calculate the mean and standard deviation for any ten arrivals in the ER

Solution

Given X follows Binomial distribution with n=10 and p=0.646

mean=n*p=10*0.646 =6.46

standard deviation =sqrt(n*p*(1-p)) = sqrt(10*0.646*(1-0.646))

=1.51223