An article was published recently suggesting that people who exercise regularly can reduce their risk of major clinical events (e.g. diabetes, cardiovascular disease, stroke) by up to 50%. It is believed that only 30% of adult Americans exercise on a regular basis. Suppose that a sample of eight adults is analyzed.
a) What is the probability that more than half of them exercise regularly?
b) What is the probability that between three and six of them exercise regularly?
c) How many of the eight adults would you expect to exercise regularly?
d) What is the probability that at least five of them do not exercise regularly?
This solution is comprised of detailed step-by-step calculation and analysis of the given problem and provides students with a clear perspective of the underlying concept. The problems focus on calculating probabilities.