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 A239385 Decimal expansion of the probability of a normal-error variable exceeding the mean by more than four standard deviations. 7
 3, 1, 6, 7, 1, 2, 4, 1, 8, 3, 3, 1, 1, 9, 9, 2, 1, 2, 5, 3, 7, 7, 0, 7, 5, 6, 7, 2, 2, 1, 5, 1, 2, 9, 8, 4, 4, 3, 8, 3, 3, 3, 7, 5, 4, 8, 0, 2, 7, 6, 5, 0, 8, 5, 4, 9, 3, 3, 1, 7, 2, 2, 0, 7, 8, 5, 8, 5, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET -4,1 COMMENTS The probability P{(x-m)/s > 4} 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 four standard deviations is considered significant, unless it is an isolated case among thousands of iterated measurements. LINKS Stanislav Sykora, Table of n, a(n) for n = -4..1996 Wikipedia, Normal distribution FORMULA P{(x-m)/s > 4} = P{(x-m)/s < -4} = 0.5*erfc(4/sqrt(2)) = erfc(2*sqrt(2))/2, with erfc(x) being the complementary error function. EXAMPLE 0.000031671241833119921253770756722151298443833375480276508549331722... PROG (PARI) n=4; 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), A239386 (n=5), A239387 (n=6). Sequence in context: A112692 A291217 A198614 * A124929 A208766 A259454 Adjacent sequences:  A239382 A239383 A239384 * A239386 A239387 A239388 KEYWORD nonn,cons AUTHOR Stanislav Sykora, Mar 18 2014 STATUS approved

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Last modified August 20 12:41 EDT 2018. Contains 313917 sequences. (Running on oeis4.)