. The American Journal of Public Health (July 1995) published a study of the relationship between passive smoking and nasal allergies in Japanese female students. The study revealed that 80% of students from heavy-smoking families showed sign of nasal allergies on physical examinations. Consider a sample of 25 Japanese female students exposed daily to heavy smoking

d. What is the probability that more than 15 of the students will NOT have nasal allergies?

e. What is the probability that more than 15 but fewer than 20 will have nasal allergies?