(3 pts each) A medical study responses are summarized in the table. The people i

Question

(3 pts each) A medical study responses are summarized in the table. The people in the study either took aspirin or a placebo the effectiveness of taking aspirin to prevent heart and were followed for 5 years. The Heart Attack Did Not Have a Heart Attack Aspirin Placebo Total 11,037 total a. What is the probability that a randomly selected Round to 4 decimal places. 21,778 22.071 person in the study did not have a heart attack? b. What is the probability that a randomly selected person in the studby was taking have a heart attack? Round to 4 decimal places c. What is the probability that a randomly selected person who took aspirin in the study did not have a heart attack? Round to 4 decimal places utis the probability that a randomly selected person in the study was taking aspirin or did not have eart a Round to 4 decimal places.

Explanation / Answer

a)

Out of 22071 people, 21778 do not have heart attack so

P(do not have heart attack) = 21778 / 22071 = 0.9867

b)

Out of 22071 people, 10933 taking the aspirin and do not have heart attack so

P(aspirin and do not have heart attack) = 10933 / 22071 = 0.4954

c)

Out of 11037 people who took aspirin, 10933 do not have heart attack so the required probability is

P(do not have heart attack | aspirin) = 10933 / 11037 = 0.9906

d)

From table we have

P(aspirin) = 10933 / 22071

The required probability is

P(aspirin or do not have heart attack) = P(aspirin) + P(do not have heart attack) - P(aspirin and do not have heart attack) = 0.9914

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