login
Decimal expansion of the fraction of the normal distribution that falls within the 3 sigma error bars.
2

%I #17 Dec 01 2023 15:49:15

%S 9,9,7,3,0,0,2,0,3,9,3,6,7,3,9,8,1,0,9,4,6,6,9,6,3,7,0,4,6,4,8,1,0,0,

%T 4,5,2,4,4,3,4,1,2,6,3,6,8,3,2,3,8,7,0,1,2,7,1,5,5,6,0,2,9,2,8,8,3,8,

%U 8,5,5,8,4,7,0,8,5,5,7,9,9,4,6,3,9,2,2

%N Decimal expansion of the fraction of the normal distribution that falls within the 3 sigma error bars.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/68-95-99.7_rule">68-95-99.7 rule</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Normal_distribution">Normal distribution</a>

%e 0.997300203936739810946696370...

%p erf(3/sqrt(2)) ; evalf(%) ;

%t RealDigits[Erf[3/Sqrt[2]], 10, 120][[1]] (* _Amiram Eldar_, May 24 2023 *)

%o (PARI) 1 - erfc(3/sqrt(2)) \\ _Michel Marcus_, Mar 22 2016

%Y Cf. A178647 (1sigma), A110894 (2sigma).

%K nonn,cons

%O 0,1

%A _R. J. Mathar_, Mar 22 2016