High school dropouts make up 16% of all Americans aged 18 to 24. A vocational school that wants to attract dropouts mails an advertising flyer to 24850 persons between the ages of 18 and 24.
(a) If the mailing list can be considered a random sample of the population, what is the mean number of high school dropouts who will receive the flyer?
(b) What is the probability that at least 4098 dropouts will receive the flyer? (Use the normal approximation to the binomial distribution to answer this question. Round your answer to four decimal places.)