Common Names . The U.S. Census Bureau says that the 10 most common names in the

Question

Common Names. The U.S. Census Bureau says that the 10 most common names in the United States are (in order) Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Out of curiosity, you look at the authors of the textbooks for your current courses. There are 9 authors in all. Would you be surprised if none of the names of these authors were among the 10 most common? (Assume that authors’ names are independent and follow the same probability distribution as the names of all residents.)

Explanation / Answer

ould you be surprised if none of the names of these authors were among the 10 most common?

P(x=0) = 9C0 * 0.096^0 * (1-0.096)^9-0 = 0.4032

I would not be surprised if none of the names of these authors were among the 10 most common because the probability to success that is 40.32% that is a probability very high

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