Pāngarau

(te) tuari a Poisson

Poisson distribution

tūingoa

WHAKAMĀRAMA

He tuari tūponotanga ka whakamahia hei whakatauira i te maha o ngā pāpono i roto i tētahi wā pūmau, ina matapōkere, ina wehe kē hoki ērā pāpono.

A probability distribution used to model how often an event happens within a fixed period of time, when those events occur randomly and independently.

Tauira KŌrero

Ka whakamahia te tuari a Poisson hei tātai i te tūponotanga kāore he tōrōkiri o te rākau.

I whakamahuki te kaiako i te rerekētanga o te tuari a Poisson i te tuari putanga-rua.

Kei te whakatauirahia te tokomaha o ngā tāngata i whakapā mai ki taku tari mā te whakamahi i te tuari a Poisson.

WhakamĀrama Āpitihanga

Hei whakatauira i te whakamahinga o te tuari a Poisson:

Tērā tētahi wheketere whakanao pūrere tāhiko. E hapa ana te 3% o ngā pūrere e whakaputaina ana. Mēnā ka tīpakona matapōkeretia ētahi pūrere 100 ka whakaputaina i tētahi rangi, ko te tuari a Poisson hei whakaatu i te tūponotanga (tuaka-y) o te hia hapa (tuaka-x) i roto i taua 100:


Koia nei te ture a Poisson, hei tātai i te maha o ngā pāpono (ngā hapa i te tauira o runga nei):

e = te tau a Euler (e = 2.71828....)

k = te maha o ngā pāpono (e whakaaturia ana ki te tuaka-x)

k! = te huarea o k

λ = te toharite o ngā pāpono (ko te 3% i te tauira o runga nei).

Tauira KŌrero

Ka whakamahia te tuari a Poisson hei tātai i te tūponotanga kāore he tōrōkiri o te rākau.

I whakamahuki te kaiako i te rerekētanga o te tuari a Poisson i te tuari putanga-rua.

Kei te whakatauirahia te tokomaha o ngā tāngata i whakapā mai ki taku tari mā te whakamahi i te tuari a Poisson.

WhakamĀrama Āpitihanga