Tema 3 - Probability distributions, Apuntes de Ingeniería Aeronáutica

¡Descarga Tema 3 - Probability distributions y más Apuntes en PDF de Ingeniería Aeronáutica solo en Docsity!

13 3 17 29. 5 8 8 1 2 1 24 14 5 6 12 2 5 46 2 05 6-10 11-15 16-20 21-25 26-30 31-35 36-40 41-45 46-50 >50 Total Quantity ol Data Samples = 40 40 2 6 23 1 24 10 14 - 18 19 9 29 10 22 1 22 10 3 1 29 9 Y 40 8 6 8 14 28 54 12 13 12 1 33 2 2 6 1 25 36 21 15 + 20940 4 a OS JMI Consulting Group O 1992 Relative Frequency Of Interarrival Times Class interval. Frequency. Probability d- ád- d- de de d- de d- da an as Time Between Arrivals of 100 Packages Received At A Delivery Dock (All Times In Minutes) h 0 0.36 0.21 0.15 0.07 0.08 0.04 0.03 0.03 0.01 0.01 0.01 he o —_—— 36 AR Relative Frequenc Histogram For Interarrival Tíme Data In Table T6A TO AZMOZMAVO EPA 10-18 - 1520 2028 2530 23038 23540 40458 4850 50+ Y o T A L Q 3 3 E R v A . T l o N s * Group intervale For interarrival Time Date Probability Density Function po. y=l0=37 7 et. Example Of Plot Points Lyon 0.8 x=0,y=0.08 2 y AL) pp A 0085 =10,y=0.035 AR DAADO DA 3 y 00) o A 0003 cmd, ym.003 68 JMI Consulting Group O 1992 Xn+1= (AXn+ Cc) MOD m m,a, and c are integer values defined as a0 and m>x0 (On + 1) MOD 17 Xa+1/ 17 La —KHA Xait Xo=7 exn+-64 uxow-x4=13 2- X1=13 0w».-118 1mor-xo=16. “- 9412 xe=16 145 x=9 05294 Xa=9 82 X4=14 0.8235 x=14 127 xs=8 0.4706 x5=8 73 Xe=5 0.2941 Xe=5 46 x7=12 0.7059 x=12 Xg=7 0.4118 Xa=7 64 -X9=13 -0.7647 Xo=13 Xx10=16 0.9412 X10=16 X11=9 0.5294 ooxoaaonob 7-8 JMI Consulting Group O 1992 Random Number Streamt1 Random Number Stream +2 Seeds 281629770 Seeds 539712780 0.18875 0.68427 0.25944 0.34968 0.57801 -0.15477 - 0.64548 0.37851 0.25430 0.57164 0.85714 0.97741 0.96523 0.19258 0.66868 0.16903 0.24658 0.88034 0.14217 0.54566 Random Number Stream*t Random Number Stream 2 Seed+* 281629770 : l interarrival Times Ñ ecarivol Times , he . 0.18875 2.60 0.68427 14.31 0.25944 3.73 0.34968' 5.34 0.57801 10.71 0.15477 2.09 0.64548 12.87 0.37851 5.90 0.25430 3.64 0.57164 10.52 0.85714 — 24.14 0.97741 47.04 0.96523 41.69 0.19258 2.65 0.66868 13.71 0.16903 2.30 0.24658 3.51 0.88034 26.35 0.14217 1.90 0.54566 9.79 JMI Consulting Group O 1992 7-7 Finding A Distribution To Represent Data A 10 4 y 13 Y 10-18 15-20 20-25 25-30 20-35 35-40 * Class Intervals | coma, a al] 40-45 45-50 50 + » Aclassinterval suchas, 5-10, signifies all the values which are greaterthan 5 and lessthan or equalto 10, 8-12 JMI Consulting Group O 1992 Chi-Square Table ChkSquare distribution values in thle table aro displayed in terme ol a “degrees al freedom” value and a “1 - a” value. The value ol a lea dependent upon the level ol elgnificanos selected. For a 3 percent level ol signifleanes, a 0.08, With thlo Information, we can be 100 x (1- a) percent confident (98 persent the value for 1 = a equale 0.95 for.a 5% level ol slgnificanes. The ertical ell not making e Type | error. Therelore, value from a ChifBquare Table for 9 degrees al freedom (v=0) and a 5% level ol elgnificanos (a =0.08) la cutined in the table below (7, ,_ "Y, ¿y 10010, T-a rad OE ET E E Tess |] 098 00 . o as 1 0.000 00008 0.004 0,1588 010% 048 132 27 3.04 so e. 2 0020 0058 0103 0211. 0878 1306 2773 4s0s |s00m | 73708 020 3 0118 0218 03682 0564 1213 238 408 025 [70 | 0398 11344 4 0207 0484 0711 1.084 1923 3387 5308 7770 [008 | 11.168 19277 5 0554 0831 1.148 1610 28% 4381 059 028 [11070] 120 15.008 8 0872. 1237 1088 2204 3488 5348 7041 10.048 | 120008] 14.40 16.012 7 1229 1600 BIO7 2833 4MB 6348 0097 12017 |14067| 10.013 18478 B 1048 2100 278 3490 M0 _ 7344 103210 13362 |1 17.598 20.080 9 LO08 2700 IMP 4.168 5000 0.349 11.09 14684 | 10.010] 10008 21.008 10 2008 3247 340 4008 0737 042 12.540 15.007 10.307 30.486 21200 1 DOG) BB UG GNTO TIO 10 13.701 172758 10075 MOS 24798 12 INP 41404 IO 00 ROO 14845 10.540 MOB MURO 20.217 13 ANT 500% BOE TOR 0MÓ 1240 16.904 10.012 MIR 2070 27.008 14 4800 5629 0.8571 779 10.108 13200 17.117 21004 28008 36110 29.141 15 5229 0262 7281 8547 11087 1430 10248 22307 M808 17.408 30.578 16 EMIZ 0408 7062 032 11912 16.3% 10.300 21542 20808 28.645 32000 6408 75M 0872 10.088 12702 10.38 20.400 24709 27.587 30.101 33400 18 7018 02H 0300 10.008 13678 17.398 21.608 25.008 20.008 31.528 34.008 19 7833 0807 10MIT 11.ÓB 14.80% 10.98 22718 27204 20.144 32862 31M 20 0200 080 10M 12440 10.48% 10.207 23.628 20.412 31410 34.170 37.808 2 0807 10283 11.801 19.840 10.944 20.397 24.006 20.615 32671 M4TO 36.88% 2 OMR: 10962 12308 14.041 17200 21317 20.008 30M 3LM4 IO 40208 2 10.108. 11.000 1I00% 14.040 10.137 22337 27.141 32007 17M IO 41.098 24 10.858 12.401 13.048 18.600 10.097 2AIIT 28.241 3LIGG 3418 30M 42000 25 11.524 13,120 ' 1AOWI 10,478 19.099 24337 20300 31362 31082 40.040 4314 20 12198 13.844 15.379 1720 20.048 28,390 30.48 10.56Z 008 41863 480% a 12070 14873 10.101 10.114 21.740 20.308 31.528 3741 40.113 41104 40.063 a 19.548 10.106 10.080 10.000 22067 27.308 32600 37.010 41.307 44481 48278 2 14,258 10.047 1TTOB 10,708 28567 20.338 38711 30.007 4MT 48722 40.588 20 14963 16.7 10400 20.000 24478 20386 34800 40258 4A77S 40.079 50.002 40 22.164 24.433 20008 20081 3LM00 3038 456186 51.808 MTM %0:M2 6108 50 29.707 32387 IATA IT 42042 4030 56.334 63167 67.308 71400 70.154 eo 37ABS 40.482 4B1BD 40480 52204 MIN 00001 74.307 7000 0308 00.370 70 45.442 40.757. 51.7IO 58,329 61.008 00314 T7.5TT M82r 90.53 0088 100.46 80 89.540 57.153 00.301 64278 71.144 TOIMA MIJO 0650 101.880 106.000 112300 90 BLTSA — G5GAT 60128 73201 00623 0034 0000 107.000 113.148 118,138 124.116 100 70.068 74222 TIP 52388 91H D03IA 100,141 110,400 124.342 120.861 136.007 MI Consulting Oroup O 1992