10. Pi. Many people know the mathematicalconstant is

Chapter 26, Problem 10

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10. Pi. Many people know the mathematicalconstant is approximately3.14. But thats not exact. To be moreprecise, here are 20 decimal places:3.14159265358979323846. Still notexact, though. In fact, the actualvalue is irrational, a decimal thatgoes on forever without any repeatingpattern. But notice that there areno 0s and only one 7 in the 20 decimalplaces above. Does that patternpersist, or do all the digits show upwith equal frequency? The tableshows the number of times eachdigit appears in the first million digits.Test the hypothesis that the digits0 through 9 are uniformly distributedin the decimal representation of .

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