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In a study of data derived from a variety of natural phenomena F A Benford...

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In a study of data derived from a variety of natural phenomena F A Benford formulated an empirical law regarding the frequency of occurrence of the first digit d in a set of numbers Researchers have recognized Benford s law also known as the first digits law as an important tool in data analysis for diverse arenas such as forensic accounting online social networking climate modeling and gene sequencing For specific data sets Benford observed that the frequencies of occurrence of d were approximated by the probability distribution shown in the table d 1 2 3 4 5 6 7 8 9 P d 301 176 125 097 079 067 058 051 046 Use Benford s Law to find P d 5 and P d 2 Express each result as a decimal rounded to three places P d 5

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