Statistics Question

Question

One in 10 high school graduates in the state of Florida sends an application to the University of Florida,” says the direct of admissions. If Florida has 120,000 high school graduates next year, how many applicants would they expect? With what standard deviation?

Answer 1

proportion (p) = 1/10 = 0.1

sample size (n) = 120000

expected value = np = 12000

standard deviation = sqrt(np*(1-p)) = sqrt(120000*0.1*0.9) = 103.92