5. A significant number of patients who have heart attacks (MI’s) have decreased

Question

5. A significant number of patients who have heart attacks (MI’s) have decreased cardiac output after the event. Use the law of total probability to determine what is the unconditional probability a patient with a history of MI will have low cardiac output. Show your work. (20%)

Groups and Ages

Age <40

Age 40-64

Age 64 & older

Fraction with low cardiac output

.08

.14

.34

Fraction of all patients with history of MI

.21

.44

.35

Groups and Ages

Age <40

Age 40-64

Age 64 & older

Fraction with low cardiac output

.08

.14

.34

Fraction of all patients with history of MI

.21

.44

.35

Explanation / Answer

Fraction of patients with low cardiac output = 0.08 + 0.14 + 0.34 = 0.56

Fraction in the patients with history of MI = 0.56 / (0.21 + 0.44 + 0.35)

= 0.56

Hope this helps.

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