The table below describes the smoking habits of a group of asthma sufferers. $6761591711006\begin{array}{r|cccc} &&Light &Heavy \\& \text { Nonsmoker } & \text { smoker } & \text { smoker } & \text { Total } \\\hline \text { Men } & 331 & 78 & 82 & 491 \\\text { Women } & 345 & 81 & 89 & 515 \\\text { Total } & 676 & 159 & 171 & 1006\end{array}$ What is the probability that a woman is a nonsmoker?

A) 0.343
B) 0.672
C) 0.512
D) 0.67
E) 0.51

Question

The table below describes the smoking habits of a group of asthma sufferers.   L i g h t H e a v y  Nonsmoker   smoker   smoker   Total   Men  331 78 82 491  Women  345 81 89 515  Total  676 159 171 1006 \begin{array}{r|cccc}  & & Light  & Heavy \ &  	ext { Nonsmoker }  &  	ext { smoker }  &  	ext { smoker }  &  	ext { Total } \\hline 	ext { Men }  &  331  &  78  &  82  &  491 \	ext { Women }  &  345  &  81  &  89  &  515 \	ext { Total }  &  676  &  159  &  171  &  1006\end{array}  Men   Women   Total  ​  Nonsmoker  331 345 676 ​ L i g h t  smoker  78 81 159 ​ He a v y  smoker  82 89 171 ​  Total  491 515 1006 ​ ​   What is the probability that a woman is a nonsmoker?A) 0.343B) 0.672C) 0.512D) 0.67E) 0.51

Duany Alberto · Accepted Answer

Final Answer : D, Explanation :   The probability that a woman is a nonsmoker is calculated by dividing the number of nonsmoking women by the total number of women. From the table, there are 345 nonsmoking women out of a total of 515 women. Therefore, the probability is   345 / 515 = 0.67 345 / 515 = 0.67 345/515 = 0.67  .

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