Link between cigar smoking and cancer. The Journal of the

Chapter 3, Problem 113SE

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QUESTION:

Problem 113SE

Link between cigar smoking and cancer. The Journal of the National Cancer Institute (Feb. 16, 2000) published the results of a study that investigated the association between cigar smoking and death from tobacco-related cancers. Data were obtained for a national sample of 137,243 American men. The results are summarized in the table. Each male in the study was classified according to his cigar-smoking status and whether or not he died from a tobacco-related cancer.

 

Died from Cancer

Did Not Die from Cancer

Totals

Never Smoked Cigars

782

120,747

121,529

Former Cigar Smoker

91

7,757

7,848

Current Cigar Smoker

141

7,725

7,866

Totals

1,014

136,229

137,243

Source: Based on Shapiro, J. A., Jacobs, E. J., & Thun, M. J. “Cigar smoking in men and risk of death from tobacco-related cancers,” Journal of the National Cancer Institute, Vol. 92, No. 4, Feb. 16, 2000. pp. 333–337 (Table 2).

a. Find the probability that a man who never smoked cigars died from cancer.

b. Find the probability that a former cigar smoker died from cancer.

c. Find the probability that a current cigar smoker died from cancer.

Questions & Answers

QUESTION:

Problem 113SE

Link between cigar smoking and cancer. The Journal of the National Cancer Institute (Feb. 16, 2000) published the results of a study that investigated the association between cigar smoking and death from tobacco-related cancers. Data were obtained for a national sample of 137,243 American men. The results are summarized in the table. Each male in the study was classified according to his cigar-smoking status and whether or not he died from a tobacco-related cancer.

 

Died from Cancer

Did Not Die from Cancer

Totals

Never Smoked Cigars

782

120,747

121,529

Former Cigar Smoker

91

7,757

7,848

Current Cigar Smoker

141

7,725

7,866

Totals

1,014

136,229

137,243

Source: Based on Shapiro, J. A., Jacobs, E. J., & Thun, M. J. “Cigar smoking in men and risk of death from tobacco-related cancers,” Journal of the National Cancer Institute, Vol. 92, No. 4, Feb. 16, 2000. pp. 333–337 (Table 2).

a. Find the probability that a man who never smoked cigars died from cancer.

b. Find the probability that a former cigar smoker died from cancer.

c. Find the probability that a current cigar smoker died from cancer.

ANSWER:

Step 1 of 3

a)

Define the events:

     N: Never Smoked Cigars

     F: Former Cigar Smoker

     C: Current Cigar Smoker

     D: Died from cancer

Using the Conditional Probability Formula, the probability that a man who never smoked cigars died from cancer is

     

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