LABORATWARIIGERAGEZA 06df = 36α = 0,05seed 99

Ukubogama k'Uruziga rwa Roulette

Uruziga rwa roulette rubogamye rutonesha utuzu tumwe kubera inenge ifatika: fret irekuye, rotor itaringaniye, utuzu twashaje. Ukubogama k'uruziga rwa roulette kurabaho kandi kwarakoreshejwe. Ingorane ni uko uruziga ruboneye neza rutanga “imibare ishyushye” buri gihe, bityo ikibazo ntikiba niba umubare ushyushye, ahubwo niba ishusho yose idahwanye kurusha uko amahirwe abyemera.

1. Fata icyitegererezo cy'uruziga ruboneye

Amazunguruka yavuye ku ruziga rw'igereranya rutabogamye na gato. Hindura ingano y'icyitegererezo urebe akazu gashyushye kurusha.

0321519421225173462713361130823105241633120143192218297281235326
amazunguruka370
ibiteganyijwe kuri buri kazu10,0
akazu gashyushye cyane20 · inshuro 16 (4,32%)
gashyushye cyane vs ibiteganyijwe+60% · 1,9σ
chi-square · p32,8 · 0,622
umwanzuronta kimenyetso cy'ukubogama

2. Ibyabonetse ugereranyije n'ibiteganyijwe

Buri nkingi ni akazu uko dukurikirana ku ruziga. Umurongo w'uduce ni umubare uteganyijwe, n/37. Agace gasizwe ibara ni ±2 by'ikinyuranyo gisanzwe: ku ruziga ruboneye hafi akazu kamwe muri makumyabiri kazagasohokamo ku bw'amahirwe gusa.

0utuzu uko dukurikirana ku ruziga →26

3. Isuzuma rya chi-square

Isuzuma riteranya uko buri kazu kari kure y'ibiteganyijwe, kubwe kabiri (squared) kandi kagereranyijwe. Ku ruziga ruboneye igiteranyo gikurikiza chi-square distribution ifite degrees of freedom 36; agaciro ka p kari munsi ya 0,05 gasanzwe kitwa ko gafite ireme.

χ² = Σ (Oᵢ − Eᵢ)² / Eᵢ Eᵢ = n/37 df = 36
n = 370 · E = 10,00 · χ² = 32,80 · p = 0,622
Integuza ku ngano y'icyitegererezoMunsi ya mazunguruka 1.000 isuzuma nta bushobozi rifite bwo kumenya ukubogama gushoboka, kandi igisubizo “gifite ireme” kuri p < 0,05 kizaboneka ku bw'amahirwe 1 muri buri bitegererezo 20 biboneye urebye. Gusuzuma inziga nyinshi, cyangwa gusubiramo isuzuma ku ruziga rumwe kugeza rutsinze, byanze bikunze bitanga ibisubizo by'ibinyoma.

4. Amazunguruka wakenera angana iki

Amazunguruka akenewe kugira ngo umenye akazu kamwe gasohoka kenshi kurusha 1/37, ku rwego rwa 5% ku ruhande rumwe n'ubushobozi bwa 80%. Akazu gasohoka 1 muri 35 aho kuba 1 muri 37 kaba ari inyungu ikomeye ku mukinnyi, kandi kukemeza bisaba amazunguruka ibihumbi mirongo yanditswe.

igipimo nyakuriinyungu y'umukinnyiamazunguruka akeneweku mazunguruka 40/isaha
1 kuri 25+44,0%1.108amasaha 28
1 kuri 30+20,0%4.392amasaha 110
1 kuri 33+9,1%15.747amasaha 394
1 kuri 35+2,9%69.461amasaha 1.737
Kwemeza ukubogama bisobanura kwandika amazunguruka ijoro ku rindi, ibihumbi mirongo byayo.

Uburyo bw'Isesengura

Gufata icyitegererezo. Itoranya rihwanye mu tuzu 37 hakoreshejwe igitanga imibare gifite imbuto (mulberry32, seed 99), bityo iyi paji ishobora gusubirwamo uko yakabaye.
Isuzuma. Isuzuma rya Pearson chi-square ry'ubwuzuzanye (goodness of fit), degrees of freedom 36, agaciro ka p kava ku regularized incomplete gamma function.
Ubushobozi. Igereranya rya normal ku isuzuma ry'igipimo kimwe, α = 0,05 ku ruhande rumwe, ubushobozi 0,80.
Aho bigarukira. Gutahura hakoreshejwe ibarurishamibare gusa. Impamvu zifatika n'isesengura rishingiye ku bice by'uruziga (aho gushingira ku tuzu) bisobanurwa muri Isesengura ry'Ibice by'Uruziga.

Akanya k'urwenya

Uruziga ruboneye rutanga imibare ishyushye buri joro. Kwemeza ukubogama bisaba amazunguruka ibihumbi mirongo.

Uruziga ruboneye rutanga imibare ishyushye buri joro. Kwemeza ukubogama bisaba amazunguruka ibihumbi mirongo.

Inkomoko

  1. Pearson, K. (1900). On the criterion that a given system of deviations… Philosophical Magazine, 50(302).
  2. Thorp, E. O. (1969). Optimal gambling systems for favorable games. Review of the International Statistical Institute, 37(3).
  3. Ethier, S. N. (2010). The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer. Ch. 13, Roulette.