Patients arriving at an outpatient clinic are routinely screened for high blood pressure. Assume that this condition occurs in 15% of the population.
These are Bernoulli trials, with constant probability of success p = 0.15 on each trial, where success is finding a patient with high blood pressure.
(a) What is the probability that the third patient of the day has high blood pressure?
(b) What is the average number of patients that must be seen to find the first patient with high blood pressure?
(c) If the clinic typically sees 50 patients each day, what is the probability of finding 10 patients with high blood pressure?