Among men aged 70 and older 25 have prostate cancer What is

Among men aged 70 and older 25% have prostate cancer. What is the approximate probability that there will be 220 or more people with prostate cancer among a random sample of 1000 men aged 70 or older?

Solution

this is a binomial with p=0.25

n=1000

P(people with prostate cancer>=220) = 0.987