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Relatiewe frekwensie vs. Waarskynlikheid

Daar is twee maniere om die waarskynlikheid van enige gebeurtenis van 'n lukrake eksperiment te bepaal:

  1. Bepaal die totale aantal moontlike uitkomstes en bereken die waarskynlikheid deur die definisie te gebruik of
  2. doen die eksperiment en bereken die relatiewe frekwensie van elke uitkomste.

Relatiewe Frekwensie word gedefiniëer as die aantal kere wat 'n gebeurtenis in 'n eksperiment plaasvind, gedeel deur die aantal kere wat die eksperiment gedoen is.

Dit verg 'n baie groot aantal eksperimente voor die relatiewe frekwensie van gebeurtenis gelyk is aan die waarskynlikheid daarvan. Byvoorbeeld: die data in [link] verteenwoordig die uitkomste van 100 proewe van 'n statistieke eksperiment (die gooi van 'n muntstuk 100 keer).

Uitslae van 100 gooie van 'n regverdige muntstuk. K beteken die muntstuk het met sy kop na bo geland en S beteken die muntstuk het met sy stert na bo geland.
K S S K K S K K K K
K K K K S K K S S S
S S K S S K S K S K
K K S S K S S K S S
S K K K S S K S S K
K S S S S K S S K K
S S K S S K S S K S
K S S K S S S S K S
S K S S K K K S K S
S S S K K S S S K S

Die volgende twee voorbeelde wys dat die relatiewe frekwensie van 'n gebeurtenis nie noodwendig gelyk is aan die waarskynlikheid daarvan nie. Relatiewe frekwensie behoort dus eerder beskou te word as 'n benaderde waarskynlikheid.

Bepaal die relatiewe frekwensie wat met elke uitkoms in die volgende data geassosiëer word [link] .

  1. Daar is twee unieke uitkomste: K en S.

  2. Uitkoms Frekwensie
    K 44
    S 56
  3. Die statistieke eksperiment van die muntstuk gooi was 100 keer uitgevoer. Daarom was daar 'n totaal van 100 proewe.

  4. Waarskynlikheid van K = frekwensie van uitkoms aantal proewe = 44 100 = 0 , 44 Relatiewe frekwensie van S = frekwensie van uitkoms aantal proewe = 56 100 = 0 , 56

    Die relatiewe frekwensie van die muntstuk gooie om kop te lewer is 0,44 en die relatiewe frekwensie om stert te lewer is 0,56.

Bepaal die waarskynlikheid van 'n regverdige muntstuk om op enige kant te land.

  1. Daar is twee unieke uitkomste: K en S.

  2. Daar is twee moontlike uitkomste.

  3. Relatiewe Frekwensie van K = aantal gunstige uitkomste totale aantal uitkomste = 1 2 = 0 , 5 Relatiewe Frekwensie van S = aantal gunstige uitkomste totale aantal uitkomste = 1 2 = 0 , 5

    Die waarskynlikheid van 'n regverdige muntstuk om op enige kant te land is 0,5 .

Projek idee

Voer 'n eksperiment uit wat wys dat die relatiewe frekwensie die waarskynlikheid van 'n gegewe uitkoms benader soos wat die aantal proewe toeneem. Doen 10, 20, 50, 100 en 200 proewe van die gooi van 'n muntstuk.

Interpretasie van waarskynlikheidswaardes - (nie in caps, maar ingesluit vir volledigheid)

Die waarskynlikheid van 'n gebeurtenis word dikwels uitgedruk as 'n reële getal tussen 0 en 1, ingesluit. Waar 'n onmoontlike waarskynlikheid deur 0 en 'n versekerde waarskynlikheid deur 1 voorgestel word. Tog is 0 waarskynlikheid gebeure nie altyd onmoontlik nie, terwyl 1 waarskynlikheid gebeure nie altyd verseker is nie. Hierdie subtiele verskil tussen seker en waarskynlikheid 1 word verder bespreek in die gedeelte "amper seker".

Questions & Answers

are nano particles real
Missy Reply
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
Lale Reply
no can't
Lohitha
where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Siyavula textbooks: wiskunde (graad 10) [caps]. OpenStax CNX. Aug 04, 2011 Download for free at http://cnx.org/content/col11328/1.4
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