Full text: [Wahrscheinlichkeitsrechnung und Geometrie] (4. Band)

ERRORIBUS MINIMIS OBNOXIAE. PARS PRIOR. 
9 
2 
cpo? == P r0 valoribus ipsius x inter 0 et -\-a 
cpx =■ , pro valoribus ipsius x inter 0 et —a 
Hinc deducitur m=.a\J-f, p=:Xy / |-—-£-XX, quamdiu X est inter 0 et \J 6, de 
nique X = \J 6 — \/(6 — 6p), quamdiu p inter 0 et 1, et proin 
p = m {\j6 — \/3) = 0,7 174389m 
Probabilitas erroris medium non superantis erit in hoc casu 
= \Jf—£ = 0,6498299 
III. Si functionem cpx proportionalem statuimus huic e ** (quod quidem 
in rerum natura proxime tantum verum esse potest), esse debebit 
XX 
e hh 
denotante tt semiperipheriam circuli pro radio 1, unde porro deducimus 
m = h\j ^ 
(V. Disquis. generales circa seriem infinitam etc. art. 28). Porro si valor integralis 
2 P e —ZZ^ z 
TZJ 
a z = 0 inchoati denotatur per Qz, erit 
P — 0(X\Zt) 
Tabula sequens exhibet aliquot valores huius quantitatis: 
X 
9- 
0,6744897 
0,5 
0,8416213 
0,6 
1,0000000 
0,6826895 
1,0364334 
0,7 
1,2815517 
0,8 
1,6448537 
0,9 
2,5758293 
0,99 
3,2918301 
0,999 
3,8905940 
0,9999 
oo 
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