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What would be the correct answer?The table below describes the smoking habits of a group of asthma sufferers. If one of the 1156 people is randomly selected, find the probability that the person is a man or a heavy smoker. Round to three decimal places as needed Occasional Regular Heavy Total Nonsmoker Smoker Smoker Smoker 601 Men Women Total 431 382 813 50 48 98 71 86 157 49 39 1156 O A. 0.554 O B. 0.596 C. 0.557 O D. 0.511

The table below describes the smoking habits of a group of asthma sufferers. If one of the 1156 people is randomly selected, find the probability that the person is a man or a heavy smoker. Round to three decimal places as needed

 Occasional Regular Heavy Total Nonsmoker Smoker Smoker Smoker 601 Men Women Total 431 382 813 50 48 98 71 86 157 49 39 1156 

A. 0.554 

B. 0.596 

C. 0.557 

D. 0.511

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Answer #1

\(\mathrm{n}(\) man or a heavy smoker \()=\mathrm{n}(\mathrm{man})+\mathrm{n}(\) a heavy smoker \()-\mathrm{n}(\mathrm{man}\) and a heavy smoker \()\)

\(=601+88-49\)

\(=640\)

The probability that the person is a man or a heavy smoker is \(\frac{640}{1156}=0.554 \mathrm{~A}\)

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