Standard deviation vs. confidence interval for normal distribution

Extracted from http://en.wikipedia.org/wiki/Standard_deviation

zσ Percentage within CI Percentage outside CI Fraction outside CI
0.674490σ 50% 50% 1 / 2
0.994458σ 68% 32% 1 / 3.125
68.2689492% 31.7310508% 1 / 3.1514872
1.281552σ 80% 20% 1 / 5
1.644854σ 90% 10% 1 / 10
1.959964σ 95% 5% 1 / 20
95.4499736% 4.5500264% 1 / 21.977895
2.575829σ 99% 1% 1 / 100
99.7300204% 0.2699796% 1 / 370.398
3.290527σ 99.9% 0.1% 1 / 1,000
3.890592σ 99.99% 0.01% 1 / 10,000
99.993666% 0.006334% 1 / 15,787
4.417173σ 99.999% 0.001% 1 / 100,000
4.891638σ 99.9999% 0.0001% 1 / 1,000,000
99.9999426697% 0.0000573303% 1 / 1,744,278
5.326724σ 99.99999% 0.00001% 1 / 10,000,000
5.730729σ 99.999999% 0.000001% 1 / 100,000,000
99.9999998027% 0.0000001973% 1 / 506,797,346
6.109410σ 99.9999999% 0.0000001% 1 / 1,000,000,000
6.466951σ 99.99999999% 0.00000001% 1 / 10,000,000,000
6.806502σ 99.999999999% 0.000000001% 1 / 100,000,000,000
99.9999999997440% 0.0000000002560% 1 / 390,682,215,445