Many people know the mathematical constant ( is approximately 3.14. But that's not exact. To be more precise, here are 20 decimal places: 3.14159265358979323846. Still not exact, though. In fact, the actual value is irrational, a decimal that goes on forever without any repeating pattern. But notice that there are no 0's and only one 7 in the 20 decimal places above. Does that pattern persist, or do all the digits show up with equal frequency? The table shows the number of times each digit appears in the first million digits. Test the hypothesis that the digits 0 through 9 are uniformly distributed in the decimal representation of (
The first Million
digits of (
Digit
Count
0
99,959
1
99,758
2
100,026
3
100,229
4
100,230
5
100,359
6
99,548
7
99,800
8
99,985
9
100,106
.