kolokwium nr2


Overview

Arkusz1
Arkusz2
Arkusz3


Sheet 1: Arkusz1

1. Obliczyć P(X>80) w rozkładzie chi-kwadrat o 6 stopniach swobody odp: 0




0,000000 rozkład chi X>80 6 stopni swobody













2.Obliczyć P(23<x<90) w rozkładzie N(12,2) odp: 0




N(12,2) 12 2 1


1



23<X<90 0,999999981010438









3.Dla rozkładu N(5,1) obliczyć kwantyl 0,99 rzędu odp: 7,326




N(5,1) kwantyl 0,99
7,326








Sheet 2: Arkusz2

-10 1,05940962675468E-27 1


12 2 0



-9,9 1,8339310855176E-27 1









-9,8 3,1667689109153E-27 1









-9,7 5,45461367852241E-27 1

-9,6 9,37186201170898E-27 1
-9,5 1,60620893581072E-26 1
-9,4 2,74594891590893E-26 1
-9,3 4,68270860414241E-26 1
-9,2 7,96555566350483E-26 1
-9,1 1,35160342661921E-25 1
-9 2,2876877952604E-25 1
-8,9 3,86241104325644E-25 1
-8,8 6,50480809961957E-25 1
-8,7 1,09275990400005E-24 1
-8,6 1,83117258427769E-24 1
-8,50000000000001 3,06089243262339E-24 1
-8,40000000000001 5,1036527971528E-24 1
-8,30000000000001 8,48845086720909E-24 1
-8,20000000000001 1,40828327213804E-23 1
-8,10000000000001 2,33058993169309E-23 1
-8,00000000000001 3,84729931335299E-23 1
-7,90000000000001 6,3352002609109E-23 1
-7,80000000000001 1,04058841010135E-22 1









-7,70000000000001 1,70495093313995E-22 1









-7,60000000000001 2,78650001136027E-22 1









-7,50000000000001 4,54276715598811E-22 1









-7,40000000000001 7,38747746352096E-22 1









-7,30000000000001 1,19835674492748E-21 1









-7,20000000000001 1,93905596587338E-21 1









-7,10000000000001 3,12974408462994E-21 1









-7,00000000000001 5,03896769714976E-21 1









-6,90000000000001 8,09260951081423E-21 1









-6,80000000000001 1,29643235055012E-20 1









-6,70000000000001 2,07169299734791E-20 1









-6,60000000000001 3,30228993036954E-20 1









-6,50000000000001 5,25072491498492E-20 1









-6,40000000000001 8,32794016189923E-20 1









-6,30000000000001 1,31755935693707E-19 1









-6,20000000000001 2,07929948955748E-19 1









-6,10000000000001 3,27324239951083E-19 1









-6,00000000000001 5,1398867858342E-19 1









-5,90000000000001 8,05087718940765E-19 1









-5,80000000000001 1,25790288847564E-18 1









-5,70000000000002 1,96049297628189E-18 1









-5,60000000000002 3,04787906478097E-18 1









-5,50000000000002 4,72655194095099E-18 1









-5,40000000000002 7,31148178750261E-18 1









-5,30000000000002 1,12818581276023E-17 1









-5,20000000000002 1,73648137428294E-17 1









-5,10000000000002 2,6660843679115E-17 1









-5,00000000000002 4,0831178158344E-17 1









-4,90000000000002 6,23769589835319E-17 1









-4,80000000000002 9,50540768953908E-17 1









-4,70000000000002 1,44487927901482E-16 1









-4,60000000000002 2,19081971775451E-16 1









-4,50000000000002 3,31356872798409E-16 1









-4,40000000000002 4,99918937424816E-16 1









-4,30000000000002 7,5234572585404E-16 1









-4,20000000000002 1,12940470157706E-15 1









-4,10000000000002 1,69120396588921E-15 1









-4,00000000000002 2,52613554176823E-15 1









-3,90000000000002 3,7638436445152E-15 1









-3,80000000000002 5,59397810717547E-15 1









-3,70000000000002 8,2932396353109E-15 1









-3,60000000000002 1,22642764284812E-14 1









-3,50000000000002 1,80914722555612E-14 1









-3,40000000000002 2,66207418612627E-14 1









-3,30000000000002 3,90733512588471E-14 1









-3,20000000000002 5,72078245090024E-14 1









-3,10000000000002 8,35496178519125E-14 1









-3,00000000000002 1,21716026651441E-13 1









-2,90000000000003 1,76874542380475E-13 1









-2,80000000000003 2,56387681839806E-13 1









-2,70000000000003 3,70717634985177E-13 1









-2,60000000000003 5,34691893577023E-13 1









-2,50000000000003 7,69268975280553E-13 1









-2,40000000000003 1,10399498156845E-12 1









-2,30000000000003 1,58041173073437E-12 1









-2,20000000000003 2,25677183860252E-12 1









-2,10000000000003 3,21454364537648E-12 1









-2,00000000000003 4,56736020418181E-12 1









-1,90000000000003 6,4732959691589E-12 1









-1,80000000000003 9,15166108507698E-12 1









-1,70000000000003 1,2905910724992E-11 1









-1,60000000000003 1,81548075089571E-11 1









-1,50000000000003 2,54746897942158E-11 1









-1,40000000000003 3,56566406199767E-11 1









-1,30000000000003 4,97835895274803E-11 1









-1,20000000000003 6,9333999708259E-11 1









-1,10000000000003 9,6320907396786E-11 1









-1,00000000000003 1,33477830738129E-10 1









-0,900000000000031 1,8450663080621E-10 1









-0,800000000000029 2,54407014082229E-10 1









-0,700000000000029 3,49913297428957E-10 1









-0,60000000000003 4,80071668515571E-10 1









-0,50000000000003 6,57000909077879E-10 1









-0,400000000000031 8,96891953981957E-10 1









-0,300000000000029 1,22131741340342E-09 1









-0,200000000000029 1,6589421217735E-09 1









-0,100000000000041 2,24775091550634E-09 1









-4,08562073062058E-14 3,03794142491126E-09 1









0,1 4,09566920173959E-09 0,999979932506376









0,199999999999999 5,50788181234115E-09 0,999845346929735









0,300000000000001 7,38853979324003E-09 0,999497137623598









0,4 9,88659820312234E-09 0,998851518755138









0,5 1,31962160178529E-08 0,997838503310237









0,6 1,75697754741022E-08 0,99640050681691









0,699999999999999 2,33344339879713E-08 0,994491066615534









0,800000000000001 3,09131025008293E-08 0,992073668132746









0,9 4,08509518927161E-08 0,989120670203276









1 5,38488002127164E-08 0,985612322033029









1,1 7,08050356508059E-08 0,981535864909803









1,2 9,28680922277645E-08 0,976884712247367









1,3 1,21501927054027E-07 0,971657701996441









1,4 1,58567460835799E-07 0,965858415874292









1,5 2,064235494315E-07 0,959494560255186









1,6 2,68051767234881E-07 0,95257740392851









1,7 3,47210117692767E-07 0,945121268271622









1,8 4,48621758119167E-07 0,937143065702081









1,9 5,78205951789892E-07 0,928661882570121









2 7,43359757367149E-07 0,919698602928606









2,1 9,53300451561405E-07 0,910275569875393









2,2 1,21948037294668E-06 0,900416281403305









2,3 1,55608778957447E-06 0,890145117916863









2,4 1,98064954551604E-06 0,87948709878363









2,5 2,51475364429622E-06 0,868467665482451









2,6 3,18491258943355E-06 0,85711248909197









2,7 4,02359122824615E-06 0,845447300031414









2,8 5,07042603274338E-06 0,83349773812263









2,9 6,37366619091673E-06 0,821289221188409









3 7,99187055345274E-06 0,808846830538058









3,1 9,9958983534614E-06 0,79619521181757









3,2 1,24712356450268E-05 0,783358489819263









3,3 1,55207035289251E-05 0,770360195955









3,4 1,92675983710436E-05 0,757223207198585









3,5 2,38593182706025E-05 0,743969695397218









3,6 2,94715338782699E-05 0,730621085939412









3,7 3,63129651511262E-05 0,717198024848034









3,8 4,46308285885665E-05 0,703720353442498









3,9 5,47170217199003E-05 0,690207089784074









4 6,69151128824427E-05 0,676676416183063









4,0999999999999 8,1628204383105E-05 0,66314567210669









4,1999999999999 9,9327735696367E-05 0,649631351882083









4,2999999999999 0,000120563290113 0,636149106640524









4,3999999999999 0,000145973462896 0,62271374999633









4,4999999999999 0,000176297841184 0,609339266998292









4,5999999999999 0,000212390135275 0,596038825932081









4,6999999999999 0,000255232487172 0,582824792589791









4,7999999999999 0,000305950965057 0,569708746657523









4,8999999999999 0,000365832231415 0,556701499904077









4,9999999999999 0,000436341347523 0,543813115883342









5,0999999999999 0,000519140647831 0,531052930890356









5,1999999999999 0,000616109584236 0,518429575936063









5,2999999999999 0,000729365402333 0,505950999529014









5,3999999999999 0,000861284469527 0,493624491073474









5,4999999999999 0,00101452402865 0,481456704713029









5,5999999999999 0,001192044100732 0,469453683466695









5,6999999999999 0,00139712920744 0,457620883521078









5,7999999999999 0,0016334095281 0,445963198557192









5,8999999999999 0,001904881049111 0,434484984004436









5,9999999999999 0,002215924205969 0,423190081126855









6,0999999999999 0,002571320461527 0,412081840858426









6,1999999999999 0,002976266209888 0,401163147314643









6,2999999999999 0,003436383345307 0,39043644091733









6,3999999999999 0,003957725791489 0,379903741078383









6,4999999999999 0,004546781250795 0,369566668396111









6,5999999999999 0,005210467407211 0,359426466325094









6,6999999999999 0,005956121803802 0,349484022287052









6,7999999999999 0,006791484616842 0,339739888196129









6,8999999999999 0,007724673567197 0,330194300377389









6,9999999999999 0,008764150246783 0,320847198862144









7,0999999999999 0,009918677195896 0,311698246048075









7,1999999999999 0,01119726514742 0,302746844716011









7,2999999999999 0,012609109957596 0,293992155398705









7,3999999999999 0,014163518870799 0,285433113100077









7,4999999999999 0,015869825917832 0,277068443366116









7,5999999999999 0,017737296423114 0,268896677711118









7,6999999999999 0,019775020794683 0,26091616840506









7,7999999999999 0,021991797990211 0,253125102629792









7,8999999999999 0,024396009289589 0,24552151601341









7,9999999999999 0,026995483256591 0,238103305553551









8,0999999999999 0,029797353034405 0,230868241941595









8,1999999999999 0,032807907387335 0,223813981300793









8,2999999999999 0,036032437168106 0,216938076352211









8,3999999999999 0,039475079150444 0,210237987023104









8,4999999999999 0,043138659413252 0,203711090512902









8,5999999999999 0,04702453868844 0,197354690832469









8,6999999999999 0,051132462281985 0,191166027832639









8,7999999999999 0,055460417339723 0,185142285738278









8,8999999999999 0,060004500348488 0,179280601204289









8,9999999999999 0,064758797832941 0,173578070910042









9,0999999999999 0,069715283222675 0,168031758708742









9,1999999999999 0,074863732817867 0,162638702348177









9,2999999999999 0,080191663670954 0,157395919779164









9,3999999999999 0,085684296023898 0,152300415067901









9,4999999999999 0,091324542694505 0,147349183928153









9,5999999999999 0,097093027491601 0,142539218889032









9,6999999999999 0,102968134359981 0,137867514113807









9,7999999999999 0,108926088516269 0,133331069884905









9,8999999999999 0,114941070342111 0,128926896769914









9,9999999999999 0,120985362259566 0,124652019483085









10,0999999999999 0,127029528234588 0,120503480456432









10,1999999999999 0,133042624949371 0,11647834313418









10,2999999999999 0,138992443065492 0,112573695003918









10,3999999999999 0,144845776380736 0,108786650377406









10,4999999999999 0,150568716077397 0,105114352933606









10,5999999999999 0,156126966683375 0,101553978036092









10,6999999999999 0,161486179833952 0,098102734836594









10,7999999999999 0,166612301445895 0,094757868176017









10,8999999999999 0,171471927509687 0,091516660293892









10,9999999999999 0,176032663382145 0,088376432356789









11,0999999999999 0,18026348123082 0,085334545815858









11,1999999999999 0,184135070151658 0,082388403603243









11,2999999999999 0,187620173458466 0,079535451176735









11,3999999999999 0,190693907730259 0,076773177421681









11,4999999999999 0,193334058401422 0,074099115418743









11,5999999999999 0,195521346987726 0,071510843085779









11,6999999999999 0,197239665453943 0,069005983701744









11,7999999999999 0,198476273738505 0,066582206320168









11,8999999999999 0,199221957047382 0,06423722607942









11,9999999999999 0,199471140200716 0,061968804416661









12,0999999999999 0,199221957047383 0,059774749192038









12,1999999999999 0,198476273738507 0,057652914729385









12,2999999999999 0,197239665453946 0,055601201779397









12,3999999999999 0,19552134698773 0,053617557410935









12,4999999999999 0,193334058401427 0,05169997483585









12,5999999999999 0,190693907730265 0,049846493172452









12,6999999999999 0,187620173458472 0,048055197152466









12,7999999999999 0,184135070151665 0,046324216776091









12,8999999999999 0,180263481230828 0,044651726919511









12,9999999999999 0,176032663382154 0,043035946898985









13,0999999999999 0,171471927509697 0,041475139995428









13,1999999999999 0,166612301445905 0,039967612943159









13,2999999999999 0,161486179833962 0,038511715386297









13,3999999999999 0,156126966683386 0,037105839306094









13,4999999999999 0,150568716077408 0,035748418422282









13,5999999999999 0,144845776380747 0,034437927571363









13,6999999999999 0,138992443065504 0,033172882064555









13,7999999999999 0,133042624949383 0,031951837027984









13,8999999999999 0,1270295282346 0,030773386727521









13,9999999999999 0,120985362259578 0,029636163880523









14,0999999999999 0,114941070342123 0,028538838956598









14,1999999999999 0,108926088516281 0,027480119469372









14,2999999999999 0,102968134359993 0,026458749261094









14,3999999999999 0,097093027491612 0,025473507781813









14,4999999999999 0,091324542694517 0,02452320936472









14,5999999999999 0,085684296023909 0,02360670249915









14,6999999999999 0,080191663670965 0,022722869102624









14,7999999999999 0,074863732817878 0,021870623793217









14,8999999999999 0,069715283222685 0,02104891316343









14,9999999999999 0,064758797832951 0,020256715056665









15,0999999999999 0,060004500348498 0,01949303784731









15,1999999999999 0,055460417339732 0,018756919725355









15,2999999999999 0,051132462281993 0,018047427986396









15,3999999999999 0,047024538688448 0,017363658327795









15,4999999999999 0,04313865941326 0,016704734151702









15,5999999999999 0,039475079150451 0,016069805875588









15,6999999999999 0,036032437168112 0,015458050250865









15,7999999999999 0,032807907387342 0,014868669690112









15,8999999999999 0,029797353034411 0,014300891603382









15,9999999999999 0,026995483256597 0,013753967744004









16,0999999999999 0,024396009289594 0,01322717356425









16,1999999999999 0,021991797990216 0,012719807581195









16,2999999999999 0,019775020794687 0,012231190753051









16,3999999999999 0,017737296423118 0,011760665866208









16,4999999999999 0,015869825917836 0,011307596933213









16,5999999999999 0,014163518870802 0,010871368601838









16,6999999999999 0,012609109957599 0,010451385575379









16,7999999999999 0,011197265147423 0,010047072044311









16,8999999999999 0,009918677195899 0,00965787112937









16,9999999999999 0,008764150246785 0,009283244336111









17,0999999999999 0,007724673567199 0,008922671021003









17,1999999999999 0,006791484616844 0,008575647869036









17,2999999999999 0,005956121803803 0,00824168838286









17,3999999999999 0,005210467407212 0,007920322383407









17,4999999999999 0,004546781250796 0,007611095521966









17,5999999999999 0,003957725791491 0,007313568803633









17,6999999999999 0,003436383345307 0,007027318122072









17,7999999999999 0,002976266209888 0,006751933805492









17,8999999999999 0,002571320461527 0,006487020173738









17,9999999999999 0,002215924205969 0,006232195106378









18,0999999999999 0,001904881049111 0,005987089621671









18,1999999999999 0,0016334095281 0,005751347466284









18,2999999999999 0,00139712920744 0,005524624715597









18,3999999999999 0,001192044100733 0,005306589384484









18,4999999999999 0,00101452402865 0,005096921048381









18,5999999999999 0,000861284469527 0,004895310474499









18,6999999999999 0,000729365402333 0,004701459263017









18,7999999999999 0,000616109584237 0,004515079498081









18,8999999999999 0,000519140647831 0,004335893408433









18,9999999999999 0,000436341347523 0,004163633037504









19,0999999999999 0,000365832231415 0,003998039922786









19,1999999999999 0,000305950965057 0,003838864784302









19,2999999999999 0,000255232487172 0,003685867221994









19,3999999999999 0,000212390135275 0,003538815421848









19,4999999999999 0,000176297841184 0,003397485870565









19,5999999999999 0,000145973462896 0,003261663078601









19,6999999999999 0,000120563290113 0,003131139311392









19,7999999999999 9,93277356964054E-05 0,003005714328575









19,8999999999999 8,16282043831373E-05 0,002885195131022









19,9999999999999 6,6915112882456E-05 0,002769395715512









20,0999999999999 5,47170217199116E-05 0,00265813683685









20,1999999999999 4,46308285885756E-05 0,002551245777267









20,2999999999999 3,63129651511336E-05 0,002448556122902









20,3999999999999 2,94715338782761E-05 0,002349907547211









20,4999999999999 2,38593182706075E-05 0,002255145601115









20,5999999999999 1,92675983710478E-05 0,002164121509725









20,6999999999999 1,55207035289285E-05 0,002076691975457









20,7999999999999 1,24712356450295E-05 0,00199271898739









20,8999999999999 9,99589835346365E-06 0,001912069636689









20,9999999999999 7,99187055345453E-06 0,001834615937927









21,0999999999999 6,37366619091819E-06 0,001760234656164









21,1999999999999 5,07042603274454E-06 0,001688807139601









21,2999999999999 4,02359122824708E-06 0,001620219157674









21,3999999999999 3,1849125894343E-06 0,001554360744426









21,4999999999999 2,51475364429682E-06 0,001491126047013









21,5999999999999 1,98064954551652E-06 0,001430413179191









21,6999999999999 1,55608778957485E-06 0,001372124079655









21,7999999999999 1,21948037294698E-06 0,001316164375069









21,8999999999999 9,53300451561644E-07 0,001262443247669









21,9999999999999 7,43359757367334E-07 0,001210873307293









22,0999999999999 5,7820595179004E-07 0,001161370467715









22,1999999999999 4,48621758119281E-07 0,001113853827142









22,2999999999999
0,001068245552769









22,3999999999999
0,001024470769241









22,4999999999999
0,000982457450934









22,5999999999999
0,000942136317914









22,6999999999999
0,000903440735472









22,7999999999999
0,00086630661712









22,8999999999999
0,000830672330942









22,9999999999999
0,000796478609192









23,0999999999999
0,000763668461043









23,1999999999999
0,000732187088371









23,2999999999999
0,000701981804502









23,3999999999999
0,0006730019558









23,4999999999999
0,000645198846024









23,5999999999999
0,000618525663361









23,6999999999999
0,000592937410029









23,7999999999999
0,000568390834402









23,8999999999999
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Sheet 3: Arkusz3

0,1 0,999979932506376











0,2 0,999845346929735

6








0,3 0,999497137623598











0,4 0,998851518755138











0,5 0,997838503310237











0,6 0,99640050681691











0,7 0,994491066615534
0,8 0,992073668132746
0,9 0,989120670203276
1 0,985612322033029
1,1 0,981535864909803
1,2 0,976884712247367
1,3 0,971657701996441
1,4 0,965858415874292
1,5 0,959494560255186
1,6 0,95257740392851
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