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 A239387 Decimal expansion of the probability of a normal-error variable exceeding the mean by more than six standard deviations. 7
 9, 8, 6, 5, 8, 7, 6, 4, 5, 0, 3, 7, 6, 9, 8, 1, 4, 0, 7, 0, 0, 8, 6, 4, 1, 3, 2, 3, 9, 8, 0, 4, 2, 0, 1, 8, 6, 6, 9, 7, 9, 1, 2, 4, 9, 9, 7, 9, 0, 2, 8, 7, 2, 2, 4, 7, 7, 0, 1, 5, 2, 1, 6, 1, 7, 5, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET -9,1 COMMENTS The probability P{(x-m)/s > 6} for a normally distributed random variable x with mean m and standard deviation s. In experimental sciences (hypothesis testing), a measured excursion exceeding background "noise" by more than six standard deviations is considered certain and "experimentally confirmed". LINKS Stanislav Sykora, Table of n, a(n) for n = -9..1991 Wikipedia, Normal distribution FORMULA P{(x-m)/s > 6} = P{(x-m)/s < -6} = 0.5*erfc(6/sqrt(2)) = erfc(3*sqrt(2))/2, with erfc(x) being the complementary error function. EXAMPLE 9.86587645037698140700864132398042018669791249979028722477...e-10 PROG (PARI) n=6; a=0.5*erfc(n/sqrt(2))  \\ Use sufficient realprecision CROSSREFS Cf. P{(x-m)/s>n}: A239382 (n=1), A239383 (n=2), A239384 (n=3), A239385 (n=4), A239386 (n=5). Sequence in context: A248585 A105415 A197015 * A226735 A155920 A082124 Adjacent sequences:  A239384 A239385 A239386 * A239388 A239389 A239390 KEYWORD nonn,cons AUTHOR Stanislav Sykora, Mar 18 2014 STATUS approved

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Last modified October 18 02:23 EDT 2019. Contains 328135 sequences. (Running on oeis4.)