The probability that the person smoked 11 to 20 cigarettes per day is 15273/100450.
The likelihood of choosing at random one study participant who smoked between 11 and 20 cigarettes per day is equal to the frequency of those who smoke between 11 and 20 cigarettes divided by the total number of study participants.
1. People smoking at most ten cigarettes per day,
African American: 9886
Native Hawaiians: 2745
Latinos: 12831
Japanese Americans: 8378
Whites: 7650
2. People who smoke 11 to 20 cigarettes per day.
African Americans: 6514
Native Hawaiians: 3062
Latinos: 4932
Japanese Americans: 10680
Whites: 9877
3. People smoking 21 to 30 cigarettes per day,
African Americans: 1671
Native Hawaiians: 1419
Latinos: 1406
Japanese Americans: 4715
Whites: 6062
4. People smoke at least 31 cigarettes per day.
African Americans: 759
Native Hawaiians: 788
Latinos: 800
Japanese Americans: 2305
Whites: 3970
Therefore, the total will be:
Group Total
[0 - 10] 41,490
[11 - 20] 35,065
[21 -30] 15,273
[31 and more] 8,622
Total 100,450
Therefore, the probability that a person smoked 11 to 20 cigarettes per day will be:
P = 15,273/100,450
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The complete question is mentioned below:
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 were 9,886 African Americans, 2,745 Native Hawaiians, 12,831 Latinos, 8,378 Japanese Americans, and 7,650 Whites. Of the people smoking 11 to 20 cigarettes per day, there were 6,514 African Americans, 3,062 Native Hawaiians, 4,932 Latinos, 10,680 Japanese Americans, and 9,877 Whites. Of the people smoking 21 to 30 cigarettes per day, there were 1,671 African Americans, 1,419 Native Hawaiians, 1,406 Latinos, 4,715 Japanese Americans, and 6,062 Whites. Of the people smoking at least 31 cigarettes per day, there were 759 African Americans, 788 Native Hawaiians, 800 Latinos, 2,305 Japanese Americans, and 3,970 Whites. Suppose that one person from the study is randomly selected. Find the probability that person smoked 11 to 20 cigarettes per day. (Enter your probability as a fraction.)