Diabetes and hypertension are two of the most common diseases in Western, industrialized nations. In the United States, approximately 9% of the population have diabetes, while about 30% of adults have high blood pressure. The two diseases frequently occur together: an estimated 6% of the population have both diabetes and hypertension.

(a) Are having diabetes and having hypertension disjoint?

(b) Draw a Venn diagram summarizing the variables and their associated probabilities.

(c) Let A represent the event of having diabetes, and B the event of having hypertension. Calculate P (A or B).

(d) What percent of Americans have neither hypertension nor diabetes?

(e) Is the event of someone being hypertensive independent of the event that someone has diabetes?