============================================================================== x x x CLASS 6/75 for STAT 3269 x x x ============================================================================== SUMMARY of 6-Elt. FREQ. COUNTS with TEST FREQ. Interval [ 3 ... 6 ] ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .58824E-01 .94118E+00 .12922E-01 ==> PROB % = 1.29 % [ PP,QQ ] <====> 5.882353E-002 9.411765E-001 [ NZ0 ] <====> 25 [ QQ ^^ MTC ] <====> 2.196729E-001 [ PP x QQ ^^ NZ0 ] <====> 1.292194E-002 [ IALPHA,MDEV,JTC,MTC,IDELTA ] <====> 12 25 2 25 1 ============================================================================== SUMMARY of 1-Elt. FREQ. COUNTS with TEST FREQ. Interval [ 3 ... 6 ] ============================================================================== # Successful INDICES over 50 STAR EVENTS = 2 Total # of STAR EVENTS = 50 PP(E) = Occ. FREQ. PROBABILITY = 8.00 % QQ(E) = 1 - PP(E) = 92.00 % PROB % = Pr( EVENT E is [*]-Qualified ) <=====> 1.29 % Expected Frequency Cadence = 1 / k = 1 / 25 KTC = Cumulative Intersection Sum in Right Tail = 2 IDELTA /NCT /IRATIO /NKTC /MTC-1 = 1 / 1 / 25 / 0 / 24 / ============================================================================== There exist : 2 [ 1 ] " s and 48 [ 0 ] " s in 50 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Last 50 [*]-Qualifying Frequencies <====> 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 3 1 3 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 2 1 0 1 1 0 0 50 Last [*]-Qual. Indices for EVENT: 28 33 39 60 62 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 (PROB = 1.2922 %) lies in the interval [ .2000 % , 100.0 % ] with [ PP % ,QQ % ] <====> [ 8.00 % , 92.00 % ] ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .39216E-01 .96078E+00 .67453E-02 ==> PROB % = .67 % [ PP,QQ ] <====> 3.921569E-002 9.607843E-001 [ NZ0 ] <====> 44 [ QQ ^^ MTC ] <====> 1.720045E-001 [ PP x QQ ^^ NZ0 ] <====> 6.745275E-003 [ IALPHA,MDEV,JTC,MTC,IDELTA ] <====> 6 6 1 44 1 ============================================================================== SUMMARY of 1-Elt. FREQ. COUNTS with TEST FREQ. Interval [ 3 ... 6 ] ============================================================================== # Successful INDICES over 50 STAR EVENTS = 1 Total # of STAR EVENTS = 50 PP(E) = Occ. FREQ. PROBABILITY = 16.67 % QQ(E) = 1 - PP(E) = 83.33 % PROB % = Pr( EVENT E is [*]-Qualified ) <=====> .67 % Expected Frequency Cadence = 1 / k = 1 / 50 KTC = Cumulative Intersection Sum in Right Tail = 1 IDELTA /NCT /IRATIO /NKTC /MTC-1 = 1 / 2 / 50 / 1 / 43 / ============================================================================== There exist : 1 [ 1 ] " s and 49 [ 0 ] " s in 50 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Last 50 [*]-Qualifying Frequencies <====> 0 0 1 0 0 3 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 1 0 2 0 1 0 0 1 1 0 1 0 1 1 0 0 0 1 0 0 1 50 Last [*]-Qual. Indices for EVENT: 22 32 34 48 64 18 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 0 0 0 0 0 0 0 0 0 0 (PROB = .6745 %) lies in the interval [ .2000 % , 100.0 % ] with [ PP % ,QQ % ] <====> [ 16.67 % , 83.33 % ] ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .39216E-01 .96078E+00 .76054E-02 ==> PROB % = .76 % [ PP,QQ ] <====> 3.921569E-002 9.607843E-001 [ NZ0 ] <====> 41 [ QQ ^^ MTC ] <====> 1.939376E-001 [ PP x QQ ^^ NZ0 ] <====> 7.605398E-003 [ IALPHA,MDEV,JTC,MTC,IDELTA ] <====> 9 9 1 41 1 ============================================================================== SUMMARY of 1-Elt. FREQ. COUNTS with TEST FREQ. Interval [ 3 ... 6 ] ============================================================================== # Successful INDICES over 50 STAR EVENTS = 1 Total # of STAR EVENTS = 50 PP(E) = Occ. FREQ. PROBABILITY = 11.11 % QQ(E) = 1 - PP(E) = 88.89 % PROB % = Pr( EVENT E is [*]-Qualified ) <=====> .76 % Expected Frequency Cadence = 1 / k = 1 / 50 KTC = Cumulative Intersection Sum in Right Tail = 1 IDELTA /NCT /IRATIO /NKTC /MTC-1 = 1 / 3 / 50 / 1 / 40 / ============================================================================== There exist : 1 [ 1 ] " s and 49 [ 0 ] " s in 50 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Last 50 [*]-Qualifying Frequencies <====> 0 0 1 1 1 0 0 0 3 2 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 0 2 0 1 0 0 1 1 0 0 1 0 0 2 0 0 0 0 0 2 1 0 0 0 50 Last [*]-Qual. Indices for EVENT: 2 20 53 60 67 20 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 0 0 0 0 0 0 0 (PROB = .7605 %) lies in the interval [ .2000 % , 100.0 % ] with [ PP % ,QQ % ] <====> [ 11.11 % , 88.89 % ] ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .39216E-01 .96078E+00 .82389E-02 ==> PROB % = .82 % [ PP,QQ ] <====> 3.921569E-002 9.607843E-001 [ NZ0 ] <====> 39 [ QQ ^^ MTC ] <====> 2.100924E-001 [ PP x QQ ^^ NZ0 ] <====> 8.238917E-003 [ IALPHA,MDEV,JTC,MTC,IDELTA ] <====> 11 11 1 39 1 ============================================================================== SUMMARY of 1-Elt. FREQ. COUNTS with TEST FREQ. Interval [ 3 ... 6 ] ============================================================================== # Successful INDICES over 50 STAR EVENTS = 1 Total # of STAR EVENTS = 50 PP(E) = Occ. FREQ. PROBABILITY = 9.09 % QQ(E) = 1 - PP(E) = 90.91 % PROB % = Pr( EVENT E is [*]-Qualified ) <=====> .82 % Expected Frequency Cadence = 1 / k = 1 / 50 KTC = Cumulative Intersection Sum in Right Tail = 1 IDELTA /NCT /IRATIO /NKTC /MTC-1 = 1 / 4 / 50 / 1 / 38 / ============================================================================== There exist : 1 [ 1 ] " s and 49 [ 0 ] " s in 50 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Last 50 [*]-Qualifying Frequencies <====> 0 0 0 1 0 1 2 0 2 0 3 2 0 0 0 1 0 0 2 0 1 1 0 1 0 0 0 0 0 0 1 0 2 1 0 2 1 0 1 0 0 1 0 1 0 1 0 0 0 0 50 Last [*]-Qual. Indices for EVENT: 8 35 45 61 67 8 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 0 0 0 0 0 (PROB = .8239 %) lies in the interval [ .2000 % , 100.0 % ] with [ PP % ,QQ % ] <====> [ 9.09 % , 90.91 % ] ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .39216E-01 .96078E+00 .11810E-01 ==> PROB % = 1.18 % [ PP,QQ ] <====> 3.921569E-002 9.607843E-001 [ NZ0 ] <====> 30 [ QQ ^^ MTC ] <====> 3.011460E-001 [ PP x QQ ^^ NZ0 ] <====> 1.180965E-002 [ IALPHA,MDEV,JTC,MTC,IDELTA ] <====> 20 20 1 30 1 ============================================================================== SUMMARY of 1-Elt. FREQ. COUNTS with TEST FREQ. Interval [ 3 ... 6 ] ============================================================================== # Successful INDICES over 50 STAR EVENTS = 1 Total # of STAR EVENTS = 50 PP(E) = Occ. FREQ. PROBABILITY = 5.00 % QQ(E) = 1 - PP(E) = 95.00 % PROB % = Pr( EVENT E is [*]-Qualified ) <=====> 1.18 % Expected Frequency Cadence = 1 / k = 1 / 50 KTC = Cumulative Intersection Sum in Right Tail = 1 IDELTA /NCT /IRATIO /NKTC /MTC-1 = 1 / 5 / 50 / 1 / 29 / ============================================================================== There exist : 1 [ 1 ] " s and 49 [ 0 ] " s in 50 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Last 50 [*]-Qualifying Frequencies <====> 0 0 1 0 0 2 1 1 2 0 1 0 0 2 0 0 1 2 1 3 1 0 1 0 0 1 1 2 0 2 0 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 50 Last [*]-Qual. Indices for EVENT: 8 17 20 32 48 21 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 (PROB = 1.1810 %) lies in the interval [ .2000 % , 100.0 % ] with [ PP % ,QQ % ] <====> [ 5.00 % , 95.00 % ] ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== [PP,QQ,PROB]: .39216E-01 .96078E+00 .96687E-02 ==> PROB % = .97 % [ PP,QQ ] <====> 3.921569E-002 9.607843E-001 [ NZ0 ] <====> 35 [ QQ ^^ MTC ] <====> 2.465509E-001 [ PP x QQ ^^ NZ0 ] <====> 9.668665E-003 [ IALPHA,MDEV,JTC,MTC,IDELTA ] <====> 15 15 1 35 1 ============================================================================== SUMMARY of 1-Elt. FREQ. COUNTS with TEST FREQ. Interval [ 3 ... 6 ] ============================================================================== # Successful INDICES over 50 STAR EVENTS = 1 Total # of STAR EVENTS = 50 PP(E) = Occ. FREQ. PROBABILITY = 6.67 % QQ(E) = 1 - PP(E) = 93.33 % PROB % = Pr( EVENT E is [*]-Qualified ) <=====> .97 % Expected Frequency Cadence = 1 / k = 1 / 50 KTC = Cumulative Intersection Sum in Right Tail = 1 IDELTA /NCT /IRATIO /NKTC /MTC-1 = 1 / 6 / 50 / 1 / 34 / ============================================================================== There exist : 1 [ 1 ] " s and 49 [ 0 ] " s in 50 Trials ============================================================================== where 1 ====> OCCURRENCE of a Specified EVENT and 0 ====> NON-OCCURRENCE of a Specified EVENT ============================================================================== Last 50 [*]-Qualifying Frequencies <====> 0 1 0 0 0 0 2 0 1 1 1 1 1 0 3 0 0 0 2 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 2 0 1 0 0 1 0 1 0 0 1 2 0 1 2 50 Last [*]-Qual. Indices for EVENT: 8 26 56 64 69 15 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 0 (PROB = .9669 %) lies in the interval [ .2000 % , 100.0 % ] with [ PP % ,QQ % ] <====> [ 6.67 % , 93.33 % ] ============================================================================== 12 21 63 66 67 21 3.9% .97561E-01 .90244E+00 .38734E+01 g 9 21 42 50 55 21 7.7% .12195E+00 .87805E+00 .38138E+01 g 9 17 23 27 45 17 10.6% .78947E-01 .92105E+00 .29432E+01 g 6 9 25 33 66 9 13.5% .10526E+00 .89474E+00 .28422E+01 g 7 9 25 58 66 9 16.3% .10526E+00 .89474E+00 .28422E+01 g 9 13 18 26 40 2 19.0% .81081E-01 .91892E+00 .27124E+01 g 9 18 21 31 48 23 21.7% .81081E-01 .91892E+00 .27124E+01 g 9 23 42 49 56 23 24.5% .81081E-01 .91892E+00 .27124E+01 g 1 5 26 39 61 2 27.2% .81081E-01 .91892E+00 .27124E+01 g 9 18 21 31 48 23 29.9% .81081E-01 .91892E+00 .27124E+01 g 6 9 21 37 66 9 32.5% .13158E+00 .86842E+00 .26199E+01 g 1 23 31 36 62 23 35.1% .10811E+00 .89189E+00 .25635E+01 g 2 10 22 26 40 22 37.6% .83333E-01 .91667E+00 .24996E+01 g 10 15 26 41 64 26 40.1% .83333E-01 .91667E+00 .24996E+01 g 15 25 26 57 59 26 42.6% .83333E-01 .91667E+00 .24996E+01 g 8 9 40 42 67 10 45.1% .83333E-01 .91667E+00 .24996E+01 g 3 8 29 30 68 8 47.4% .11111E+00 .88889E+00 .23122E+01 g 10 17 26 51 62 10 49.7% .11111E+00 .88889E+00 .23122E+01 g 5 42 47 53 54 19 51.9% .58824E-01 .94118E+00 .22299E+01 g 5 42 47 53 54 19 54.1% .58824E-01 .94118E+00 .22299E+01 g 2 16 42 52 53 9 56.3% .88235E-01 .91176E+00 .21229E+01 g 2 8 50 51 53 8 58.4% .60606E-01 .93939E+00 .20987E+01 g 8 14 37 46 49 24 60.5% .60606E-01 .93939E+00 .20987E+01 g 2 8 16 37 53 12 62.6% .60606E-01 .93939E+00 .20987E+01 g 5 10 22 52 61 20 64.5% .62500E-01 .93750E+00 .19753E+01 g 12 20 26 32 50 10 66.5% .62500E-01 .93750E+00 .19753E+01 g 22 32 47 53 64 10 68.5% .62500E-01 .93750E+00 .19753E+01 g 5 22 43 58 64 10 70.5% .62500E-01 .93750E+00 .19753E+01 g 4 27 36 39 60 10 72.4% .62500E-01 .93750E+00 .19753E+01 g 13 20 22 40 45 10 74.4% .62500E-01 .93750E+00 .19753E+01 g 32 35 36 56 58 9 76.4% .62500E-01 .93750E+00 .19753E+01 g 10 14 28 59 67 22 78.4% .62500E-01 .93750E+00 .19753E+01 g 1 16 53 58 64 10 80.3% .62500E-01 .93750E+00 .19753E+01 g 10 29 36 44 65 2 82.3% .62500E-01 .93750E+00 .19753E+01 g 10 42 50 55 61 10 84.3% .62500E-01 .93750E+00 .19753E+01 g 10 11 50 54 58 1 86.3% .62500E-01 .93750E+00 .19753E+01 g 15 26 43 50 58 10 88.2% .62500E-01 .93750E+00 .19753E+01 g 6 20 39 46 53 8 90.2% .90909E-01 .90909E+00 .19564E+01 g 8 46 51 55 56 8 92.2% .90909E-01 .90909E+00 .19564E+01 g 13 21 26 49 61 14 94.0% .64516E-01 .93548E+00 .18591E+01 g 14 46 54 59 65 4 95.9% .64516E-01 .93548E+00 .18591E+01 g 13 21 26 49 61 14 97.7% .64516E-01 .93548E+00 .18591E+01 g 13 25 53 65 68 16 99.6% .64516E-01 .93548E+00 .18591E+01 g 6 21 48 58 59 10 101.4% .93750E-01 .90625E+00 .18030E+01 g ==============================================================================