Poisson 分配、指數分配與排隊理論 | poisson期望值
![Poisson 分配、指數分配與排隊理論](https://i.imgur.com/axBPWDg.jpg)
Ҽ{UC{HGCpɪAȥxXȪHơACѮaqܪqơA@ѤCrơAYDWCoͨתơAͲuW~ơAǥͨ줽ǧѮvơKKCjPW@Ǧ@PSxGbYɶϬqA|oͭYzuƥvAOɭԫܤ֡AɤS`ahA]ƥoͪƬO@HܼơAҹvƺ٬PoissontC@PoissonL{TӰSʡG(1)b@ӵuɶ϶Aoͤ@ƥvPGC(2)buɶoͨ⦸HWviHC(3)b|ɶq̡AƥU۵oͪƬOWߪCUiHҤWzUعڪҤlAOO۷ŦXPoissonL{wqH{OP(k,T)ܦbɶ϶Tokƥv]`NTܮɶ϶סAӤOɶA(1)(2)AB,C{NTΦNӵuɶϬq]YAQ(3)UɶϬqX{ƥOWߪAiTwkAѤWiPoissontOGtB(N,p,q)@طA䤤Np=`AACt~Aڭ̳q`NOmAܦbɶ϶TAoͦơ]UDCDG(1)C(2)O,CDE(X)PVar(X)C(Ans.m,m.).@qqܳqƤjCp20qADb5@qqܤ]SvHCp20q,ܨCq/C]b5ɶ϶,qܳqƬCҥHҥHS@qqܪvCFP(k)Aڭ̥iHhDGb54qqܪvOAjCQ~@Cb5WL3qqܪvOgpoӾvtAзǮtCkϬOP...
![Poisson 分配、指數分配與排隊理論](https://i.imgur.com/H8YKUrg.jpg)
Ҽ{UC{HGCpɪAȥxXȪHơACѮaqܪqơA@ѤCrơAYDWCoͨתơAͲuW~ơAǥͨ줽ǧѮvơKKCjPW@Ǧ@PSxGbYɶϬqA|oͭYzuƥvAOɭԫܤ֡AɤS`ahA]ƥoͪƬO@HܼơAҹvƺ٬ Poisson tC
@ Poisson L{TӰSʡG
(1) b@ӵuɶ϶ Aoͤ@ƥvP G C (2) buɶoͨ⦸HWviHC (3) b|ɶq̡AƥU۵oͪƬOWߪCUiHҤWzUعڪҤlAOO۷ŦX Poisson L{wqH
{O P(k,T) ܦbɶ϶ T o k ƥv]`N T ܮɶ϶סAӤOɶA(1)(2) AB , C{N T Φ N ӵuɶϬq ]Y AQ (3) UɶϬqX{ƥOWߪAi
Tw kA
ѤWi Poisson tOGt B(N,p,q) @طA䤤 Np= ` AA Ct~Aڭ̳q`N O mAܦbɶ϶ T Aoͦơ]UDC
DG (1) C (2) O , C D E(X) P Var(X)C(Ans. m, m.)
. @qqܳqƤjCp 20 qADb 5 @qqܤ]SvH Cp 20 q, ܨC q/C ]b 5 ɶ϶, qܳqƬ CҥH ҥHS@qqܪv C F P(k)Aڭ̥iHhDGb 5 4 qqܪvO AjCQ~@Cb 5 WL 3 qqܪvOgpoӾvt AзǮt CkϬO P(k) ϧΡAMѩ AҥHouOϧΡCŪ̥iP@몺GtϧΤC
. UO 1910 ~ Rutherford [gʪg ɤlOAC[ 7.5A@[ 2608 C ɤl Wv P(k) 0 57 0.022 0.021 1 203 0.078 0.081 2 383 0.147 0.156 3 525 0.201 0.201 4 532 0.204 0.195 5 408 0.156 0.151 6 273 0.105 0.097 7 139 0.053 0.054 8 45 0.017 0.026 9 27 0.010 0.011 16 0....