Math 167-Final Exam Last name, First name: /100pts. Problem 1. The following tab

Question

Math 167-Final Exam Last name, First name: /100pts. Problem 1. The following table described individuals' health by following two types of diet Diet Versus Health Nonfatal Heart- HealthyRelated Episode Cancer Died Total Mediterranean AHA Total 273 237 510 14 302 24 8 605 25 17 24 Find the probabilities that a patient randomly selected from the study (round the answer to three decimal places) a. had Mediterranean diet. (3 pts.) b. had Cancer OR was on the AHA diet. (4 pts.) c. had a nonfatal heart-related episode OR died d. had cancer, given that he or she was on the AHA diet. (4 pts.) (4 pts.)

Explanation / Answer

a.

P(Meditaterrenean) = 302/605 = 0.499

b.

P(Cancer OR AHA die) = P(Cancer)+P(AHA diet) -P(Cancer AND AHA diet) = 24+303-17/605 = 0.512

c.

P(Non faltat heart related episode OR died) = P(Non faltat heart related episode) +P(died) = 33+38/605 = 0.117

d.

P(cancer| AHA diet) = P(cancer AND AHA diet) /P(AHA diet) = 17/303 = 0.056

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