The Census Bureau says that the 10 most common names in United States are (in order) Smith, Johnson, Williams, Jones, Brown, Jones, Miller, Davis, Garcia, Rodriguez, Wilson. Such names account for 9.6% of all U.S. residents.
1. Out of curiosity, you look at authors of textbooks for your current courses. There're 12 authors in all. Would you be surprised if none of names of these authors were among the 10 most common? Provide a probability to support your answer. Your answer should be rounded to 3 decimal places.