By Hideo Kusuoka and Julien I.E. Hoffman

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76 3520. 803 . . 65 74' 22 40 . 58 . 48 . 2! 56 82'51 85 . 81 . TABLE 8. PERCENTAGE POINTS OF THE f-DISTRIBUTION This table gives percentage points x;,(P) defined by the equation rco 100 2142 rq) A( p) xiv-1 e- P dx. 0 If Xis a variable distributed as x2 with v degrees of freedom, Phoo is the probability that X x,2,(P). s/ and unit variance. 34 0 '4549 X,2,'(P) 2'5 I 3 only. 29 49'64 50'99 52. 73 30 32 34 36 38 29. 8 153'2 TABLE 9. THE t-DISTRIBUTION FUNCTION The function tabulated is F„(t) ray +1-) f = , VV 7T - co k I m ds svoi(v+i) .

812 2. 169 2'201 2'179 2'160 2'145 2'718 2'681 2'650 2'624 3'106 1 . 2672 0'5594 0/267 0. 7027 1. 8791 0'8755 r 093 1. 372 F363 0'2590 0. 6955 0. 8726 0'8702 0. 2579 0 '5357 0. 6884 0. 131 0'2576 2. 8591 0'6858 0. 06o I ' 325 1 . 323 1'321 1'319 I ' 725 I . 208 4'785 4'501 4'297 2. 845 2. 768 3'745 2. 060 2. 032 2. 028 2. 750 2. 738 2'728 2'719 3'385 3. 646 3'551 3'496 3. 6848 25 26 27 28 0. 2561 0. 5302 0'6844 0'8562 1. 6786 2'403 2'390 2/04 2'678 2•660 0. 684 1676 P671 1658 2423 0'5258 1. 89 2'009 2'000 0'2539 r 050 r 047 1.

30 TABLE 2. 8540 . 8671 '8545 . 8272 •8126 '7975 •7818 . 8826 •8712 . 8122 '7980 . 1641 •1531 2500 ' 2354 . 2211 '2 -1303 See page 24 for explanation of the use of this table. 9429 TABLE 2. THE POISSON DISTRIBUTION FUNCTION ii. 9919 0'9953 0 '9973 0'9985 . 9999 '9999 '9999 '9999 '9998 z8 '9999 '9999 0 '9999 '9999 '9999 '9999 '9998 '9998 r = 29 0'9999 '9999 '9999 0 '9999 '9999 See page 24 for explanation of the use of this table. 9989 '9987 TABLE 3. BINOMIAL COEFFICIENTS This table gives values of n!