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COMP-U-STAT
STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER
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/ / (c) Copyright 2022 by J.E. Glover, Ph.D.
/ / Released: 01/01/22
/ / All Rights Reserved
/ / The COMP-U-STAT System consists of a cluster of more than 3894
/ / modular programs which will provide you with a clear and distinct
/ / mathematical and scientific edge in generating useful statistical
/ / patterns for analyzing trends from random variables and stochastic
/ / processes, universally encountered. Please feel free to consult
/ / with the author for the provision of salient output exemplars.
/ / Although no one can guarantee the appearance of any anticipated
/ / outcomes in any experimental observation or speculative endeavor,
/ / you now have confidential access to a proven scientific approach
/ / to analyzing and solving this class of very challenging and
/ / fascinating problems.
/ / =====================================================================
/ / COMP-U-STAT PROGRAM 3860
/ / =====================================================================
/ / MONITOR MATRIX GENERATOR XXIX
/ / FREQUENCY COUNTS FOR A SEQUENCE OF
/ / ELEMENTS < 1 , 2, … , L0 >
/ / VS. A SEQUENCE OF STAR EVENTS
/ / ( PROBABILITY THAT ELEMENT L OCCURS IN THE NEXT STAR EVENT
/ / VIA A NEGATIVE-BINOMIAL DISTRIBUTION FUNCTION OVER A SELECTED
/ / COLUMN STRING )
/ / ( NEGATIVE-BINOMIAL DISTRIBUTION VARIANT OF STAT3246, RESTRICTED
/ / TO A SELECTED COLUMN STRING [ C1,C2 ] in { 1, 2, … , K0 } )
/ / READS A SEQUENCE OF IMAX STAR EVENTS ON THE ELEMENTS IN
/ / THE SEQUENCE T = < 1, 2, … , L0 > , DETERMINES A (0,1) –
/ / OCCURRENCE MATRIX FOR EACH OF THE L0 ELEMENTS OF THE SET T,
/ / THE RELATIVE FREQUENCY OF EACH ELEMENT IN T, AND DETERMINES A
/ / PROJECTED SEQUENCE OF TRANSLATION VECTORS IN PERM.INP, WHICH
/ / ARE HIGHLY LIKELY TO OCCUR IN THE NEXT K0-ELEMENT STAR EVENT
/ / OF BASE.INP. STAT3860 IS A VARIANT OF STAT3246, ANALYZING L0
/ / ELEMENTS IN STAR EVENTS OVER EACH ONE OF K0 SEPARATE COLUMNS
/ / VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS,
/ / BASED UPON THE NEG-BINOMIAL PROBAILITY DISTRIBUTION DETERMINING
/ / THE Pr(EACH ELEMENT L WILL OCCUR FOLLOWING THE FINAL STAR EVENT).
/ / STAT3860 READS UP TO 100 STAR EVENTS IN BASE.INP AND ANALYZES
/ / ELEMENTS IN THE RANGE < 1, … , L0 >, WHERE THE MAXIMUM VALUE
/ / OF L0 IS 70. CF. ALSO STAT893, STAT894, STAT899, AND STAT933.
/ / VS. THE BASE SET OF STAR EVENTS, BUT FILTERING STAR ELEMENTS,
/ / BASED UPON WHETHER OR NOT THE INDEX OF STAR EVENT (IMAX+1-M0)
/ / IS CONGRUENT TO 0 (MOD KCT), WHERE M0 IS THE STAR INDEX OF THE
/ / FIRST OCCURRING ELEMENT 1 IN THE (0,1) – OCCURRENCE MATRIX AND
/ / KCT IS THE NUMBER OF ELAPSED EVENTS PER OCCURRENCE OF A 1 IN THE
/ / (0,1) – OCCURRENCE MATRIX FOR EACH OF THE L0 STAR ELEMENTS.
/ / STAT3860 IS A VARIANT OF STAT934, BUT UTILIZES A DIFFERENT
/ / ALGORITHMIC TECHNIQUE FOR DETERMINING HIGH-PROBABILITY ELEMENTS.
/ / SIGNIFICANTLY, STAT3860 GENERATES PERM.OUT AND PERM2.OUT FOR
/ / PROCESSING AS PERM.INP IN STAT543, STAT3011, STAT3012, STAT3013,
/ / STAT3121. AND STAT3122. A Q0-ELEMENT VECTOR OF TRANSLATION
/ / ELEMENTS IS READ FROM PERM.INP AND COMPARED TO D(L) FOR EACH L,
/ / WHERE D(L) = 1000 * PROBABILITY THAT ELEMENT L WILL OCCUR IN
/ / EVENT IMAX+1, IMMEDIATELY SUCCEEDING THE FINAL STAR EVENT.
/ / ( <D(L) FOR EACL ELEMENT L = 1, … , L0 ) IS RECORDED IN
/ / PERM2.INP FOR FURTHER ANALYSIS, E.G., IN STAT3123 AS PERM2.INP,
/ / WHEN RANKING PERMUTATIONS BY SUMS OF ELEMENT WEIGHTS. CF. STAT3062.
/ / CF. STAT3152 FOR ANALYSIS OF K0 SEPARATE COLUMNS OF STAR EVENTS.
/ / STAT3246 ANALYZES THE L0 ELEMENTS OVER THE ENTIRE
/ / (L0 x K0)-DIMENSIONAL BLOCK OF STAR EVENTS, RATHER THAN EACH ONE
/ / OF K0 SEPARATE COLUMNS. CF. STAT3253, WHICH ANALYZES A SEQUENCE
/ / OF DIMINISHING ROWS PER BLOCK TO GENERATE PERM.OUT, RATHER THAN
/ / ONE SINGLE ( BMAX x K0 ) – DIMENSIONAL BLOCK OF EVENTS FROM
/ / STAT3860.INP. AN ( L0 x K0 – DIMENSIONAL BLOCK OF 10 * Pr(L),
/ / FOR L = 1 , … , L0 IS RECORDED IN STAT3258.IN2 FOR FUTURE
/ / USAGE IN STAT3258. A SCALED INTEGER VERSION OF STAT3258.IN2
/ / IS RECORDED AS STAT3258.IN3 FOR VISUAL COMPARISON. A CUMULATIVE
/ / FILE OF TEST EVENT ELEMENTS IS NOT RECORDED IN STAT3260.
/ / CF. ALSO STAT3374. IN STAT3860. A SEQUENCE OF PROBABILITY WEIGHTS
/ / OF ELEMENTS IS RECORDED IN WT(L).OUT FOR INPUT INTO OTHER ROUTINES.
/ / ELEMENTS ARE RANKED IN DESCENDING ORDER OF NEG-BINOMIAL PROBABILITY
/ / OVER SELECTED COLUMNS [ C1,C2 ] OF STAR EVENTS IN BASE.INP
/ / AND RECORDED IN FILE PERM.OUT FOR FURTHER APPLICATION.
/ / PERM.INP IS GENERATED FROM PERM.OUT FOR USAGE IN STAT28.
/ / CF. BASE.OUT FOR AN ( IMAX x K0 )-DIMENSIONAL HIT-MONITOR-MATRIX.
/ / CF. STAT94.IN2, GENERATED AS AN ADDITIONAL EVENT FOR STAT3894.OUT.
==========================================================================
AUTHOR: J.E. GLOVER
CREATED: 10/14/2021
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x x x CLASS 6/70 for STAT 3860 x x x
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The Top Ranking Elements in Cols. [1,6] thru 02/25/22
==========================================================================
BASE SETS (i.e., “STAR EVENTS”) analyzed”
may possibly number up to 100 EVENTS per execution,
1 ===> OCCURRENCE of an element in a STAR EVENT,
0 ===> Non-OCCURRENCE of an element in a STAR EVENT,
and the NUMBER of ELEMENTS analyzed is 70
==========================================================================
11 Occurrences of 1″s Over 100 STAR EVENTS for Elt L = [ 1 ] :
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1
0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0
0 0 0 0
==========================================================================
The # of Right-Trailing 0″s <====> IJTC = 5
==========================================================================
XPP = 1.1578947305679E-001
XQQ = 8.8421052694321E-001
L1NDX = IMAX – NZ0 = 95
# ( Right-Trailing [0]”s ) <====> NZ0 = 5
==========================================================================
x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x
==========================================================================
Pr( E has SUCCESS # 12 on TRIAL # 101 ) = 12.00 % <==> 1 / 8 (aprox.)
==========================================================================
… Characterized via a NEGATIVE-BINOMIAL Distribution …
The Current # of Sequential TRIALS = IMAX = 100
The Current # of SUCCESSES = KSUCC = 11
The Current # of FAILURES = IMAX – KSUCC 89
IDELTA = 100 * Pr ( EVENT E is [*]-Qualified ) = 12
(PP,QQ,PROB) ==> .11579E+00 .88421E+00 .12128E+00 ==> PROB = 12.13 %
==========================================================================
[ P_Ratio ] <====> [ PROB / PP ] <====> = 1.04739
==========================================================================
6 Occurrences of 1″s Over 100 STAR EVENTS for Elt L = [ 2 ] :
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0
1 0 0 0
==========================================================================
The # of Right-Trailing 0″s <====> IJTC = 3
==========================================================================
XPP = 6.1855670064688E-002
XQQ = 9.3814432993531E-001
L1NDX = IMAX – NZ0 = 97
# ( Right-Trailing [0]”s ) <====> NZ0 = 3
==========================================================================
x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x
==========================================================================
Pr( E has SUCCESS # 7 on TRIAL # 101 ) = 14.50 % <==> 1 / 7 (aprox.)
==========================================================================
… Characterized via a NEGATIVE-BINOMIAL Distribution …
The Current # of Sequential TRIALS = IMAX = 100
The Current # of SUCCESSES = KSUCC = 6 and
The Current # of FAILURES = IMAX – KSUCC 94 and
IDELTA = 100 * Pr ( EVENT E is [*]-Qualified ) = 15
(PP,QQ,PROB) ==> .61856E-01 .93814E+00 .14741E+00 ==> PROB = 14.74 %
==========================================================================
[ P_Ratio ] <====> [ PROB / PP ] <====> = 2.38311
==========================================================================
14 Occurrences of 1″s Over 100 STAR EVENTS for Elt L = [ 3 ] :
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0
0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0
0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0
0 0 1 0
==========================================================================
The # of Right-Trailing 0″s <====> IJTC = 1
==========================================================================
XPP = 1.4141413569450E-001
XQQ = 8.5858586430550E-001
L1NDX = IMAX – NZ0 = 99
# ( Right-Trailing [0]”s ) <====> NZ0 = 1
==========================================================================
x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x
==========================================================================
Pr( E has SUCCESS # 15 on TRIAL # 101 ) = 10.50 % <==> 1 / 9 (aprox.)
==========================================================================
… Characterized via a NEGATIVE-BINOMIAL Distribution …
The Current # of Sequential TRIALS = IMAX = 100
The Current # of SUCCESSES = KSUCC = 14 and
The Current # of FAILURES = IMAX – KSUCC 86 and
IDELTA = 100 * Pr ( EVENT E is [*]-Qualified ) = 11
(PP,QQ,PROB) ==> .14141E+00 .85859E+00 .10872E+00 ==> PROB = 10.87 %
==========================================================================
[ P_Ratio ] <====> [ PROB / PP ] <====> = .76882
==========================================================================
15 Occurrences of 1″s Over 100 STAR EVENTS for Elt L = [ 4 ] :
0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0
1 0 0 1
==========================================================================
The # of Right-Trailing 0″s <====> IJTC = 0
==========================================================================
XPP = 1.5000000596046E-001
XQQ = 8.4999999403954E-001
L1NDX = IMAX – NZ0 = 100
# ( Right-Trailing [0]”s ) <====> NZ0 = 0
==========================================================================
x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x
==========================================================================
Pr( E has SUCCESS # 16 on TRIAL # 101 ) = 10.50 % <==> 1 / 10 (aprox.)
==========================================================================
… Characterized via a NEGATIVE-BINOMIAL Distribution …
The Current # of Sequential TRIALS = IMAX = 100
The Current # of SUCCESSES = KSUCC = 15 and
The Current # of FAILURES = IMAX – KSUCC 85 and
IDELTA = 100 * Pr ( EVENT E is [*]-Qualified ) = 11
(PP,QQ,PROB) ==> .15000E+00 .85000E+00 .10519E+00 ==> PROB = 10.52 %
==========================================================================
[ P_Ratio ] <====> [ PROB / PP ] <====> = .70126
==========================================================================
9 Occurrences of 1″s Over 100 STAR EVENTS for Elt L = [ 5 ] :
0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0
0 0 0 0
==========================================================================
The # of Right-Trailing 0″s <====> IJTC = 12
==========================================================================
XPP = 1.0227272659540E-001
XQQ = 8.9772727340460E-001
L1NDX = IMAX – NZ0 = 88
# ( Right-Trailing [0]”s ) <====> NZ0 = 12
==========================================================================
x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x
==========================================================================
Pr( E has SUCCESS # 10 on TRIAL # 101 ) = 13.00 % <==> 1 / 8 (aprox.)
==========================================================================
… Characterized via a NEGATIVE-BINOMIAL Distribution …
The Current # of Sequential TRIALS = IMAX = 100
The Current # of SUCCESSES = KSUCC = 9 and
The Current # of FAILURES = IMAX – KSUCC 91 and
IDELTA = 100 * Pr ( EVENT E is [*]-Qualified ) = 13
(PP,QQ,PROB) ==> .10227E+00 .89773E+00 .13102E+00 ==> PROB = 13.10 %
==========================================================================
[ P_Ratio ] <====> [ PROB / PP ] <====> = 1.28105
==========================================================================
12 Occurrences of 1″s Over 100 STAR EVENTS for Elt L = [ 6 ] :
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0
1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0
0 1 1 0
==========================================================================
The # of Right-Trailing 0″s <====> IJTC = 1
==========================================================================
XPP = 1.2121212482452E-001
XQQ = 8.7878787517548E-001
L1NDX = IMAX – NZ0 = 99
# ( Right-Trailing [0]”s ) <====> NZ0 = 1
==========================================================================
x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x
==========================================================================
Pr( E has SUCCESS # 13 on TRIAL # 101 ) = 11.00 % <==> 1 / 9 (aprox.)
==========================================================================
… Characterized via a NEGATIVE-BINOMIAL Distribution …
The Current # of Sequential TRIALS = IMAX = 100
The Current # of SUCCESSES = KSUCC = 12 and
The Current # of FAILURES = IMAX – KSUCC 88 and
IDELTA = 100 * Pr ( EVENT E is [*]-Qualified ) = 11
(PP,QQ,PROB) ==> .12121E+00 .87879E+00 .11472E+00 ==> PROB = 11.47 %
==========================================================================
[ P_Ratio ] <====> [ PROB / PP ] <====> = .94644
==========================================================================
11 Occurrences of 1″s Over 100 STAR EVENTS for Elt L = [ 7 ] :
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0
0 0 0 0
==========================================================================
The # of Right-Trailing 0″s <====> IJTC = 6
==========================================================================
XPP = 1.1702127754688E-001
XQQ = 8.8297872245312E-001
L1NDX = IMAX – NZ0 = 94
# ( Right-Trailing [0]”s ) <====> NZ0 = 6
==========================================================================
x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x
==========================================================================
Pr( E has SUCCESS # 12 on TRIAL # 101 ) = 12.00 % <==> 1 / 8 (aprox.)
==========================================================================
… Characterized via a NEGATIVE-BINOMIAL Distribution …
The Current # of Sequential TRIALS = IMAX = 100
The Current # of SUCCESSES = KSUCC = 11 and
The Current # of FAILURES = IMAX – KSUCC 89 and
IDELTA = 100 * Pr ( EVENT E is [*]-Qualified ) = 12
(PP,QQ,PROB) ==> .11702E+00 .88298E+00 .12163E+00 ==> PROB = 12.16 %
==========================================================================
[ P_Ratio ] <====> [ PROB / PP ] <====> = 1.03939
==========================================================================
13 Occurrences of 1″s Over 100 STAR EVENTS for Elt L = [ 8 ] :
1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0
0 0 0 0
==========================================================================
The # of Right-Trailing 0″s <====> IJTC = 12
==========================================================================
XPP = 1.4772726595402E-001
XQQ = 8.5227273404598E-001
L1NDX = IMAX – NZ0 = 88
# ( Right-Trailing [0]”s ) <====> NZ0 = 12
==========================================================================
x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x
==========================================================================
Pr( E has SUCCESS # 14 on TRIAL # 101 ) = 11.00 % <==> 1 / 9 (aprox.)
==========================================================================
… Characterized via a NEGATIVE-BINOMIAL Distribution …
The Current # of Sequential TRIALS = IMAX = 100
The Current # of SUCCESSES = KSUCC = 13 and
The Current # of FAILURES = IMAX – KSUCC 87 and
IDELTA = 100 * Pr ( EVENT E is [*]-Qualified ) = 11
(PP,QQ,PROB) ==> .14773E+00 .85227E+00 .11038E+00 ==> PROB = 11.04 %
==========================================================================
[ P_Ratio ] <====> [ PROB / PP ] <====> = .74718
==========================================================================
12 Occurrences of 1″s Over 100 STAR EVENTS for Elt L = [ 9 ] :
0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0
0 0 0 0
==========================================================================
The # of Right-Trailing 0″s <====> IJTC = 11
==========================================================================
XPP = 1.3483145833015E-001
XQQ = 8.6516854166985E-001
L1NDX = IMAX – NZ0 = 89
# ( Right-Trailing [0]”s ) <====> NZ0 = 11
==========================================================================
x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x
==========================================================================
Pr( E has SUCCESS # 13 on TRIAL # 101 ) = 11.50 % <==> 1 / 9 (aprox.)
==========================================================================
… Characterized via a NEGATIVE-BINOMIAL Distribution …
The Current # of Sequential TRIALS = IMAX = 100
The Current # of SUCCESSES = KSUCC = 12 and
The Current # of FAILURES = IMAX – KSUCC 88 and
IDELTA = 100 * Pr ( EVENT E is [*]-Qualified ) = 12
(PP,QQ,PROB) ==> .13483E+00 .86517E+00 .11585E+00 ==> PROB = 11.58 %
==========================================================================
[ P_Ratio ] <====> [ PROB / PP ] <====> = .85921
==========================================================================
15 Occurrences of 1″s Over 100 STAR EVENTS for Elt L = [ 10 ] :
1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1
0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0
==========================================================================
The # of Right-Trailing 0″s <====> IJTC = 20
==========================================================================
XPP = 1.8750000000000E-001
XQQ = 8.1250000000000E-001
L1NDX = IMAX – NZ0 = 80
# ( Right-Trailing [0]”s ) <====> NZ0 = 20
==========================================================================
x x x Utilizing a NEGATIVE-BINOMIAL PROBABILITY DISTRIBUTION x x x
==========================================================================
Pr( E has SUCCESS # 16 on TRIAL # 101 ) = 8.00 % <==> 1 / 12 (aprox.)
==========================================================================
… Characterized via a NEGATIVE-BINOMIAL Distribution …
The Current # of Sequential TRIALS = IMAX = 100
The Current # of SUCCESSES = KSUCC = 15 and
The Current # of FAILURES = IMAX – KSUCC 85 and
IDELTA = 100 * Pr ( EVENT E is [*]-Qualified ) = 8
(PP,QQ,PROB) ==> .18750E+00 .81250E+00 .80707E-01 ==> PROB = 8.07 %
==========================================================================
[ P_Ratio ] <====> [ PROB / PP ] <====> = .43044
==========================================================================