In a study of patients with coronary heart disease, 605 patients were randomly assigned to follow a Mediterranean- type diet or the step 1 American Heart Association (AHA) prudent diet for four years. Table 35 describes whether the individuals were healthy (other than having coronary heart disease), had a nonfatal heart-related episode, had cancer, or had died during the four years.

a. Find the probability that a patient randomly selected from the study had a nonfatal heart-related episode.
b. Find the probability that a patient randomly selected from the study had a nonfatal heart-related episode OR died.
c. Find the probability that a patient randomly selected from the study had cancer OR was on the Mediterranean diet.
d. Find the probability that a patient randomly selected from the study had cancer, given he or she was on the step 1 AHA prudent diet.
e. For individuals in the study, is being healthy during the four- year study independent of being on the Mediterranean diet?

Transcribed Image Text:

Table 35 Diet versus Health Nonfatal Heart-Related Mediterranean 273 АНА Total Healthy Episode Cancer Died Total 7 14 302 17 24 303 605 510 24 38