JURNAL MODUL 2BDISTRIBUSI POISSON DAN DISTRIBUSI EKSPONENSIAL

1.1 Distribusi Poisson1.1.1 Server 1INTERVAL 2 MENITNO.INTERVAL WAKTUJUMLAH MOTOR

1234567891011121314151617181920212223242526272829303132333435363738394041

00:00:00 00:00:0010:54:00 10:55:5910:56:00 10:57:5910:58:00 10:59:5911:00:00 11:01:5911:02:00 11:03:5911:04:00 11:05:5911:06:00 11:07:5911:08:00 11:09:5911:10:00 11:11:5911:12:00 11:13:5911:14:00 11:15:5911:16:00 11:17:5911:18:00 11:19:5911:20:00 11:21:5911:22:00 11:23:5911:24:00 11:25:5911:26:00 11:27:5911:28:00 11:29:5911:30:00 11:31:5911:32:00 11:33:5911:34:00 11:35:5911:36:00 11:37:5911:38:00 11:39:5911:40:00 11:41:5911:42:00 11:43:5911:44:00 11:45:5911:46:00 11:47:5911:48:00 11:49:5911:50:00 11:51:5911:52:00 11:53:5911:54:00 11:55:5911:56:00 11:57:5911:58:00 11:59:5912:00:00 12:01:5912:02:00 12:03:5912:04:00 12:05:5912:06:00 12:07:5912:08:00 12:09:5912:10:00 12:11:5912:12:00 12:13:59 01422433432424213423233322333333133424223

FREKUENSI KOMULATIF110

Perhitungan Peluang x = 0 40Perhitungan rataan dan variansi dari interval 2 menit untuk server I, yaitu:

Mean E(x) = = = =2,68Variansi = V(x) = = 2,68Perhitungan:

P(x ; ) = = mean = 2,68

P(0; 2,68) == 0,068

P(1; 2,68) == 0,183

P(2; 2,68) == 0,246

P(3; 2,68) == 0,22

P(4; 2,68) == 0,147

P(5; 2,68) == 0,078992

P(6; 2,68) == 0,035283

P(7; 2,68) == 0,013508

P(8; 2,68) == 0,004525

P(9; 2,68) == 0,001348

P(10; 2,68) == 0,000361

P(11; 2,68) == 0,000088

P(12; 2,68) == 0,0000197

P(13; 2,68) == 0,0000405

P(14; 2,68) == 0,000000775

P(15; 2,68) == 0,000000139

P(16; 2,68) == 0,0000000232

P(17; 2,68) == 0,00000000366

P(18; 2,68) == 0,000000000545

P(19; 2,68) == 0,0000000000768

P(20; 2,68) == 0,0000000000103

P(21; 2,68) == 0,00000000000131

P(22; 2,68) == 0,00000000000016

P(23; 2,68) == 0,0000000000000187

P(24; 2,68) == 0,000000000000000208

P(25; 2,68) == 0,000000000000000223

P(26; 2,68) == 2,3E-17

P(27; 2,68) == 2,28E-18

P(28; 2,68) == 2,19E-19

P(29; 2,68) == 2,02E-20

P(30; 2,68) == 1,8E-21

P(31; 2,68) == 1,56E-22

P(32; 2,68) == 1,31E-23

P(33; 2,68) == 1,06E-24

P(34; 2,68) == 8,37E-26

P(35; 2,68) == 6,41E-27

P(36; 2,68) == 4,77E-28

P(37; 2,68) == 3,45E-29

P(38; 2,68) == 2,44E-30

P(39; 2,68) == 1,67E-31

P(40; 2,68) == 1,12E-32

P(41; 2,68) == 7,33E-34

INTERVAL 1,5 MENITNO.INTERVAL WAKTUJUMLAH MOTOR

1234567891011121314151617181920212223242526272829303132333435363738394041

00:00:00 00:00:0010:55:30 10:56:5910:57:00 10:58:2910:58:30 10:59:5911:00:00 11:01:2911:01:30 11:02:5911:03:00 11:04:2911:04:30 11:05:5911:06:00 11:07:2911:07:30 11:08:5911:09:00 11:10:2911:10:30 11:11:5911:12:00 11:13:2911:13:30 11:14:5911:15:00 11:16:2911:16:30 11:17:5911:18:00 11:19:2911:19:30 11:20:5911:21:00 11:22:2911:22:30 11:23:5911:24:00 11:25:2911:25:30 11:26:5911:27:00 11:28:2911:28:30 11:29:5911:30:00 11:31:2911:31:30 11:32:5911:33:00 11:34:2911:34:30 11:35:5911:36:00 11:37:2911:37:30 11:38:5911:39:00 11:40:2911:40:30 11:41:5911:42:00 11:43:2911:43:30 11:44:5911:45:00 11:46:2911:46:30 11:47:5911:48:00 11:49:2911:49:30 11:50:5911:51:00 11:52:2911:52:30 11:53:5911:54:00 11:55:29 04122322232313123220223231222312132222232

Frekuensi Komulatif84

Perhitungan Peluang x = 0 40Perhitungan rataan dan variansi dari interval 1,5 menit untuk server I, yaitu:

Mean E(x) = = = =2,05Variansi = V(x) = = 2,05Perhitungan:

P(x ; ) = = mean = 2,05

P(0; 2,05) == 0,128735

P(1; 2,05) == 0,263907

P(2; 2,05) == 0,270504

P(3; 2,05) == 0,18484

P(4; 2,05) == 0,094733

P(5; 2,05) == 0,03884

P(6; 2,05) == 0,01327

P(7; 2,05) == 0,003886

P(8; 2,68) == 0,000996

P(9; 2,68) == 0,000227

P(10; 2,68) == 4,65E-05

P(11; 2,68) == 8,67E-06

P(12; 2,68) == 1,48E-06

P(13; 2,68) == 2,33E-07

P(14; 2,68) == 3,42E-08

P(15; 2,68) == 4,67E-09

P(16; 2,68) == 5,99E-10

P(17; 2,68) == 7,22E-11

P(18; 2,68) == 8,22E-12

P(19; 2,68) == 8,87E-13

P(20; 2,68) == 9,09E-14

P(21; 2,68) == 8,88E-15

P(22; 2,68) == 8,27E-16

P(23; 2,68) == 7,37E-17

P(24; 2,68) == 6,3E-18

P(25; 2,68) == 5,16E-19

P(26; 2,68) == 4,07E-20

P(27; 2,68) == 3,09E-21

P(28; 2,68) == 2,26E-22

P(29; 2,68) == 1,6E-23

P(30; 2,68) == 1,09E-24

P(31; 2,68) == 7,23E-26

P(32; 2,68) == 4,63E-27

P(33; 2,68) == 2,88E-28

P(34; 2,68) == 1,73E-29

P(35; 2,68) == 1,02E-30

P(36; 2,68) == 5,78E-32

P(37; 2,68) == 3,21E-33

P(38; 2,68) == 1,73E-34

P(39; 2,68) == 9,09E-36

P(40; 2,68) == 4,66E-37

P(41; 2,68) == 2,33E-38

1.1.2 Server 2Interval 2 MenitNO.INTERVAL WAKTUJUMLAH MOTOR

1234567891011121314151617181920212223242526272829303132333435363738394041

00:00:00 00:00:0010:52:00 10:53:5910:54:00 10:55:5910:56:00 10:57:5910:58:00 10:59:5911:00:00 11:01:5911:02:00 11:03:5911:04:00 11:05:5911:06:00 11:07:5911:08:00 11:09:5911:10:00 11:11:5911:12:00 11:13:5911:14:00 11:15:5911:16:00 11:17:5911:18:00 11:19:5911:20:00 11:21:5911:22:00 11:23:5911:24:00 11:25:5911:26:00 11:27:5911:28:00 11:29:5911:30:00 11:31:5911:32:00 11:33:5911:34:00 11:35:5911:36:00 11:37:5911:38:00 11:39:5911:40:00 11:41:5911:42:00 11:43:5911:44:00 11:45:5911:46:00 11:47:5911:48:00 11:49:5911:50:00 11:51:5911:52:00 11:53:5911:54:00 11:55:5911:56:00 11:57:5911:58:00 11:59:5912:00:00 12:01:5912:02:00 12:03:5912:04:00 12:05:5912:06:00 12:07:5912:08:00 12:09:5912:10:00 12:11:59 01244113112243330021312312242141222334213

Frekuensi komulatif86

Perhitungan Peluang x = 0 40Perhitungan rataan dan variansi dari interval 2 menit untuk server 2, yaitu:

Mean E(x) = = = 86/41 = 2,1Variansi = V(x) = = 2,1Perhitungan:

P(x ; ) = = mean = 2,1

P(0;) == 0,122456

P(1) == 0,257158

P(2) == 0,270016

P(3) == 0,189011

P(4) == 0,099231

P(5) == 0,041677P(6) = 0,014587P(7) = 0,004376P(8) = 0,001149P(9) = 0,000268P(10) == 5,63E-05P(11) = 1,07E-05P(12) = 1,88E-06P(13) == 3,04E-07P(14) = 4,56E-08P(15) = 6,38E-09P(16)= 8,37E-10P(17)= 1,03E-10P(18) = 1,21E-11P(19) = 1,33E-12P(20) = 1,4E-13P(21) = 1,4E-14P(22)= 1,34E-15P(23)= 1,22E-16P(24)= 1,07E-17P(25)= 8,97E-19P(26) = 7,25E-20P(27)= 5,64E-21P(28) = 4,23E-22P(29) = 3,06E-23P(30) = 2,14E-24P(31) = 1,45E-25P(32)= 9,52E-27P(33)= 6,06E-28P(34)= 3,74E-29P(35) = 2,25E-30P(36)= 1,31E-31P(37) = 7,44E-33P(38) = 4,11E-34P(39)= 2,21E-35P(40) = 1,16E-36P(410= 5,95E-38

Interval 1,5 menitNO.INTERVAL WAKTUJUMLAH MOTOR

1234567891011121314151617181920212223242526272829303132333435363738394041

00:00:00 00:00:0010:52:30 10:53:5910:54:00 10:55:2910:55:30 10:56:5910:57:00 10:58:2910:58:30 10:59:5911:00:00 11:01:2911:01:30 11:02:5911:03:00 11:04:2911:04:30 11:05:5911:06:00 11:07:2911:07:30 11:08:5911:09:00 11:10:2911:10:30 11:11:5911:12:00 11:13:2911:13:30 11:14:5911:15:00 11:16:2911:16:30 11:17:5911:18:00 11:19:2911:19:30 11:20:5911:21:00 11:22:2911:22:30 11:23:5911:24:00 11:25:2911:25:30 11:26:5911:27:00 11:28:2911:28:30 11:29:5911:30:00 11:31:2911:31:30 11:32:5911:33:00 11:34:2911:34:30 11:35:5911:36:00 11:37:2911:37:30 11:38:5911:39:00 11:40:2911:40:30 11:41:5911:42:00 11:43:2911:43:30 11:44:5911:45:00 11:46:2911:46:30 11:47:5911:48:00 11:49:2911:49:30 11:50:5911:51:00 11:52:29 01232310130121223232100120222021122132122

Frekuensi komulatif63

Perhitungan Peluang x = 0 40Perhitungan rataan dan variansi dari interval 1,5 menit untuk server 2, yaitu:

Mean E(x) = = = 63/41 = 1,5Variansi = V(x) = = 1,5Perhitungan:

P(x ; ) = = mean = 1,5

P(0) == 0,22313

P(1) == 0,334695

P(2) == 0,251021

P(3) == 0,125511

P(4) == 0,047067

P(5) == 0,01412

P(6) == 0,00353

P(7) == 0,000756P(8) = 0,000142P(9) = 2,36E-05P(10) = 3,55E-06P(11) = 4,84E-07P(12)= 6,04E-08P(13) = 6,97E-09P(14) = 7,47E-10P(15)= 7,47E-11P(16) = 7E-12P(17) =6,18E-13P(18) = 5,15E-14P(19)= 4,07E-15P(20) = 3,05E-16P(21)= 2,18E-17P(22) = 1,49E-18P(23) = 9,69E-20P(24) = 6,05E-21P(25) = 3,63E-22P(26) = 2,1E-23P(27)= 1,16E-24P(28) = 6,24E-26P(29) = 3,23E-27P(30) = 1,61E-28P(31) = 7,8E-30P(32) = 3,66E-31P(33) = 1,66E-32P(34) = 7,34E-34P(35) = 3,14E-35P(36) = 1,31E-36P(37) = 5,31E-38P(38) = 2,1E-39P(39) = 8,06E-41P(40) = 3,02E-42P(41) = 1,11E-43

1.2 Distribusi EksponensialServer 1NO.RENTANG WAKTUSELISIH WAKTU (MENIT)

1234567891011121314151617181920212223242526272829303132333435363738394041

00:00:00 00:00:0010:55:46 - 10:56:0910:56:21 - 10:56:4510:57:56 - 10:58:4810:59:15 - 11:00:4911:01:07 - 11:02:0211:02:45 - 11:02:5311:03:35 - 11:04:1411:04:49 - 11:05:3711:06:30 - 11:07:0511:07:49 - 11:08:1011:08:40 - 11:09:2811:09:41 - 11:11:1911:11:27 - 11:11:5811:12:22 - 11:13:3111:14:43 - 11:14:4811:15:35 - 11:15:5911:16:52 - 11:17:1911:18:15 - 11:18:5011:19:15 - 11:19:3611:20:48 - 11:21:2811:22:01 - 11:24:0311:25:18 - 11:25:5411:26:30 - 11:27:0911:27:45 - 11:27:5411:28:52 - 11:29:3011:30:13 - 11:30:3111:31:15 - 11:32:1011:33:17 - 11:34:2811:35:15 - 11:35:4111:36:12 - 11:36:5211:37:35 - 11:38:1011:38:35 - 11:39:1511:41:05 - 11:41:4311:42:30 - 11:43:4011:44:10 - 11:44:1511:45:40 - 11:46:1711:46:47 - 11:47:4211:48:37 - 11:49:2311:49:57 - 11:50:5211:51:24 - 11:51:55

-0,380,40,871:340,920,130,820,80,580,350,81:380,521:090,0830,40,450,580,350,672:020,60,650,150,80,30,921:110,430,670,580,670,630,630,750,620,920,730,920,52

t20,9

Penghitungan

,96

Penghitungan Peluang1. 2. 3. 4. 5. 0,0007726. 7. 8. 2,16E-069. 10. 4,28E-0811. 6,03E-0912. 8,49E-1013. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41.