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An article in the New England Journal of Medicine, reported about a study of smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and smoking levels per day were given. Of the people smoking at most ten cigarettes per day, there were9,886African Americans,2,745Native Hawaiians,12,831Latinos,8,378Japanese Americans, and7,650Whites. Of the people smoking11to20cigarettes per day, there were6,514African Americans,3,062Native Hawaiians,4,932Latinos,10,680Japanese Americans, and9,877Whites. Of the people smoking21to30cigarettes per day, there were1,671African Americans,1,419Native Hawaiians,1,406Latinos,4,715Japanese Americans, and6,062Whites. Of the people smoking at least31cigarettes per day, there were759African Americans,788Native Hawaiians,800Latinos,2,305Japanese Americans, and3,970Whites

In words, explain what it means to pick one person from the study who is 鈥淛apanese American and smokes 21to30 cigarettes per day.鈥 Also, find the probability.

Short Answer

Expert verified

The required solution is0.047.

Step by step solution

01

Given information

An article in the New England Journal of Medicine, reported about a study of smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and smoking levels per day were given. Of the people smoking at most ten cigarettes per day, there were9,886African Americans,2,745Native Hawaiians,12,831Latinos,8,378Japanese Americans, and7,650Whites. Of the people smoking11to20cigarettes per day, there were6,514African Americans,3,062Native Hawaiians,4,932Latinos,10,680Japanese Americans, and9,877Whites. Of the people smoking21to30cigarettes per day, there were1,671African Americans,1,419Native Hawaiians,1,406Latinos,4,715Japanese Americans, and6,062Whites. Of the people smoking at least31cigarettes per day, there were759African Americans,788Native Hawaiians,800Latinos,2,305Japanese Americans, and3,970Whites.

02

Calculation

We know, according to the table,

Here,

"One person who is Japanese American and smokes 21to30cigarettes per day" means a person who is Japanese American and also the same person who smokes 21to30cigarettes.

Since, there is 4715person who is Japanese American and smokes 21to30cigarettes.

So, by using normal method of probability in which to get the probability we divide no. of favorable outcomes by total no. of events.

Therefore, probability is 4715divided by localid="1650550306235" 100450.

P(ThatapersonisJapaneseAmericanandsmokes21to30cigarettesperday)=4715100450=0.047.

03

Final answer

The required probability is0.047.

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