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(5) Five hundred adults over 50 years of age were classified according to whethe

ID: 3355996 • Letter: #

Question

(5) Five hundred adults over 50 years of age were classified according to whether they smoked or not, and if they smoked, were they a moderate or heavy smoker. Also, each one was asked whether he or she had ever had a heart attack. The results are given. Heart Attack Yes No Total Do not smoke3 Moderate smoker 60 65125 Heavy smoker9 Totals180320 500 220 250 What is the probability of selecting a person who either has had a heart attack, or who is a heavy smoker? a. What is the probability of selecting a person who is a heavy smoker and who did not have a heart attack? b.

Explanation / Answer

a) P(heart attack or heavy smoker) = P(heart attack) + P(heavy smoker) - P(heart attack and heavy smoker)

                                                        = 180/500 + 125/500 - 90/500

                                                        = 0.43

b) P(heavy smoker and did not have a heart attack) = 35/500 = 0.07