Qaybinta Binomialka
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Questions and Answers

Waa maxay shuruudaha lagu dabaqi karo qaacidada binomial probability?

  • Tirada guulaha iyo guuldarada waa in ay kaliya laba tahay. (correct)
  • Tirada cadaadis la'isaga dhiibayo waa mid joogto ah.
  • Tirada mustaqbalka waa in ay kala duwan tahay.
  • Tirada guuldaradu waa in ay sareyso.

Waa maxay shuruudaha lagama maarmaanka u ah in tirada dhacdooyinka ay yihiin madax bannaan?

  • Dhacdooyinka waa in aysan xiriir la yeelan. (correct)
  • Dhacdadu waa in ay iskhilaafaan.
  • Tirada guuldarada waa in ay yar tahay.
  • Dhacdooyinka waa in la isku daro.

Maxay tahay iskaashiga u dhexeeya tirada guulaha iyo tirada guuldarada?

  • Tirada guulaha iyo guuldarada waa in ay is le'eg yihiin.
  • Tirada guuldarada waa in ay mar walba ka badan tahay tirada guulaha.
  • Tirada guulaha waa in ay mar walba ka badan tahay tirada guuldarada.
  • Tirada guulaha iyo guuldarada waxay noqon kartaa mid aan joogto ahayn. (correct)

Sidee xaashida isku xiran ee binomial distribution u muujisaa fursadda guul ama guuldaro?

<p>Fursaddu waxay u dhaxeysaa 0 ilaa 1. (C)</p> Signup and view all the answers

Waa maxay sida loo xisaabin karo tirada guulaha?

<p>Tirada tirada la rabo inay noqoto. (A)</p> Signup and view all the answers

Maxay yihiin kuwa ku habboon in loo isticmaalo qaacidada binomial?

<p>Dhacdooyinka madax bannaan. (C)</p> Signup and view all the answers

Waa maxay micnaha ah in fursadda guulaha ay ka mid tahay 50%?

<p>Guulaha iyo guuldarada waxay dhigayaan isku dheelitirnaan. (A)</p> Signup and view all the answers

Waa maxay fursadda lagu qiimeeyo guulaha guutadaha?

<p>Qiimeyn. (A)</p> Signup and view all the answers

Waa maxay habka loo xusho dadka ka qaybgalaya tijaabada?

<p>Shaqaalaha guuleysta (C)</p> Signup and view all the answers

Waa maxay sababta tirada dhacdooyinka aan loo baahnayn in la farageliyo?

<p>Waxay ka dhigaysaa natiijooyin aan la saadaalin karin. (A)</p> Signup and view all the answers

Waa maxay waxyaabaha lagu xisaabin karo tayada guulaha?

<p>Natiijooyinka la tijaabiyay. (C)</p> Signup and view all the answers

Waa maxay arrinta muhiimka ah ee kaliya ay tahay in dadka ka qaybgalaya ay lahaadaan?

<p>Fahfahmada natiijooyinka (D)</p> Signup and view all the answers

Maxay fursaddu u horseedi kartaa haddii guulaha ay ka yar yihiin 5%?

<p>Fursadda aysan caadi ahayn. (A)</p> Signup and view all the answers

Maxay yihiin tusaalooyinka la tixgeliyo marka la dooranayo dadka ka qaybgalaya?

<p>Xaqiijinta muujinta (D)</p> Signup and view all the answers

Waa maxay xiriirka ka dhexeeya tirada guulaha iyo guuldarada?

<p>Tirada guulada waxaa weheliya guuldarada. (D)</p> Signup and view all the answers

Qaybta ugu muhiimsan ee shuruudaha ka qaybgalaya tijaabada waa?

<p>Fahamka hawsha (A)</p> Signup and view all the answers

Maxay ka dhigeysaa nidaamka doorashada mid adkeysi leh?

<p>Hagaajinta aqoonta dadka la xusho (C)</p> Signup and view all the answers

Kani waa shuruud la’aan in la sugo?

<p>Hawsha aan la qorsheyneyn (C)</p> Signup and view all the answers

Waa maxay aqoonta muhiimka ah ee looga baahan yahay ka qaybgalayaasha?

<p>Fahanka habka (D)</p> Signup and view all the answers

Maxay yihiin waxyaabaha ka hortaga in dadka la doorto?

<p>Xaalado adag (A)</p> Signup and view all the answers

Waa maxay caddaynta la tijaabinayo?

<p>Xaqiinta habka (A)</p> Signup and view all the answers

Maxay tahay sababta ugu weyn ee loo xusho dadka ka qaybgalaya?

<p>Dhaqanka wanaagsan (D)</p> Signup and view all the answers

Waa maxay Wales tan ugu muhiimsan ay tahay in la tijaabiyo?

<p>Daryeelka kooxeed (D)</p> Signup and view all the answers

Maxay yihiin caddaymaha la rabo in la sameeyo?

<p>Hagaajinta dareenka (A)</p> Signup and view all the answers

Waa maxay sabababaha muujinaya inaan loo dooneyn?

<p>Aqoon la'aanta (A)</p> Signup and view all the answers

Maxay tani u tahay wakhti fiican?

<p>Aqoonta in la kashifayo (B)</p> Signup and view all the answers

Waa maxay kaliya in la caddeeyo?

<p>Raadinta guuleysta (C)</p> Signup and view all the answers

Flashcards

Suurinta Gobolka Nooca 1

Waa qayb ka mid ah suurinta goobaha guud ee laga helo goobaha lagu hayo hadafyada xaaladdu si sax ah ula jaahil.

Suurinta Gobolka Nooca 2

Waa qayb ka mid ah suurinta goobaha guud ee laga helo goobaha lagu hayo xaaladihii hore looga baahan yahay.

Suurinta Gobolka Nooca 3

Waa qayb ka mid ah suurinta goobaha guud ee laga helo goobaha lagu hayo xaalihii Hore looga baahan yahay.

Suurinta Gobolka Nooca 4

Waa qayb ka mid ah suurinta goobaha guud ee laga helo goobaha lagu hayaa xaalado aad aad ugu badan.

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Suurinta Gobolka Nooca 5

Waa qayb ka mid ah suurinta goobaha guud ee laga helo goobaha lagu hayaa xaalado aad ugu badan.

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Suurinta Gobolka Nooca 6

Waa qayb ka mid ah suurinta goobaha guud ee laga helo goobaha lagu hayaa xaalado aad ugu badan.

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Suurinta Gobolka Nooca 7

Waa qayb ka mid ah suurinta goobaha guud ee laga helo goobaha lagu hayaa xaalado aad ugu badan.

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Suurinta Gobolka Nooca 8

Waa qayb ka mid ah suurinta goobaha guud ee laga helo goobaha lagu hayaa xaalado aad aad ugu badan.

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Suurinta Gobolka Nooca 9

Waa qayb ka mid ah suurinta goobaha guud ee laga helo goobaha lagu hayaa xaalado aad aad ugu badan.

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Suurinta Gobolka Nooca 10

Waa qayb ka mid ah suurinta goobaha guud ee laga helo goobaha lagu hayo xaalado aad aad ugu badan.

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Habka Suurinta Gobolka

Waa habka lagu kala saaro goobaha suurinta ee lagu hayo xaaladihii hore looga baahan yahay.

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Suurinta Gobolka

Waa hab lagu kala saaro goobaha suurinta ee lagu hayo xaaladdu si sax ah ula jaahil.

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Suurinta Gobolka (qaab kale)

Waa hab lagu kala saaro goobaha suurinta ee laga helo goobaha lagu hayo xaaladdu si sax ah ula jaahil.

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Suurinta Gobolka (qaab kale)

Waa hab lagu kala saaro goobaha suurinta ee laga helo goobaha lagu hayo xaaladdu si sax ah ula jaahil.

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Suurinta Gobolka (qaab kale)

Waa hab lagu kala saaro goobaha suurinta ee laga helo goobaha lagu hayo xaaladdu si sax ah ula jaahil.

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Binomial Probability Formula

Qaacido lagu xisaabiyo suurtagalnimada in dhacdo gaar ah ay dhacdo ama aysan dhicin tijaabo gaar ah oo la sameeyo.

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Tiijaabo Binomial

Tiijaabo ka kooban tijaabada oo madax-banaan, halkaas oo natiijadu ay ku koobnaan karto labada natiijooyin oo kala ah guul ama guuldarro.

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Qaaciddada Binomial

Qaacidan waxay u oggolaanaysaa inaad xisaabiso suurtagalnimada dhammaan natiijooyinka suurtogalka ah ee tijaabo binomial ah, sida badnaanta in la helo natiijo gaar ah (guul).

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Natiijooyinka Madax-banaan

Tani macnaheedu waa haddii natiijada tijaabo aysan saameyn ku yeelan natiijada tijaabada xigta, markaa tijaabooyinka waa madax bannaan.

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Tirada Guulaysta (X)

Tani waxay tilmaamaysaa tirada guulaysta ee lagu helo tijaabooyinka binomial ee la sameeyo.

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Suurtogalnimada guul kasta (p)

Tani waxay u taagan tahay suurtogalnimada in la helo natiijo guul leh tijaabo kasta oo binomal ah.

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Suurtogalnimada guuldarro kasta (q)

Tani waxay u taagan tahay suurtogalnimada in la helo natiijo guuldarro ah tijaabo kasta oo binomal ah.

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Tirada tijaabooyinka (n)

Tani waxay tilmaamaysaa tirada guud ee tijaabooyinka ee la sameeyo tijaabo binomial ah.

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Xisaabinta suurtogalnimada

Qaaciddada binomial waxaa loo isticmaali karaa si loo xisaabiyo suurtogalnimada in la helo tirada gaarka ah ee guulaysta (X) ee la sameeyo tirada gaarka ah ee tijaabooyinka (n).

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Dhaqdhaqaaqa Dhacdooyinka

Dhaqdhaqaaqa dhacdooyinka soo noqnoqda binomial waa marka dhacdooyinka ay madax-banaan yihiin oo kaliya laba natiijo suurtogal ah ay jiraan: guul ama guuldarro.

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Khasaaraha

Tani waxay tahay dhacdo ama natiijo aan guul ahayn.

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Suurtagalnimada isku dhafan

Suurtagalnimada isku dhafan (dhawr dhacdo oo dhacaysa) waxaa loo xisaabi karaa iyadoo la isku dhufanayo suurtogalnimada dhacdooyinka madax-banaan.

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Dhaqdhaqaaqa Bernoulli (Tiijaabo)

Tiijaabo Bernoulli waa kiis gaar ah oo tijaabo binomial ah meesha uu jiro hal tijaabo oo keliya (n=1).

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Sharaxaadda Binomial

Sharaxaadda binomial waa qaacido lagu xisaabiyo suurtagalnimada in la helo tirada gaarka ah ee guulaysta (X) ee la sameeyo tirada gaarka ah ee tijaabooyinka (n), iyadoo la tixgelinayo suurtogalnimada guul kasta (p).

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Study Notes

Binomial Distribution

  • A probability distribution that describes the probability of getting a specific number of successes in a fixed number of independent trials.
  • The trials must be independent.
  • The number of trials must be fixed.
  • Each trial outcome must be classified as a success or failure.
  • The probability of success (p) must be the same for each trial.

Computing the Number of Scenarios

  • Use the choose function to compute the number of ways to choose k successes in n trials.
  • Formula: n! / (k! * (n-k)!)

Binomial Probability Formula

  • Formula: n! / (k! * (n-k)!) * p^k * (1-p)^(n-k)
  • Where:
    • n = the number of trials
    • k = the number of successes
    • p = the probability of success in a single trial

Expected Value

  • The expected value (mean) of a binomial distribution is calculated as:
    • μ = np

Expected Value and Variability

  • Standard deviation is calculated using this formula:
    • σ = √np(1 − p)
  • Where:
    • np is the expected number of successes
    • n(1-p) is the expected number of failures

Unusual Observations

  • Observations that are more than 2 standard deviations away from the mean are considered unusual.

The Birthday Problem

  • The probability of two randomly chosen people sharing a birthday is quite low (approximately 1/365).
  • The probability of at least two people sharing a birthday out of a larger group of people is usually calculated using the complement of the probability that no two people share a birthday.

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Related Documents

L10 - Binomial distribution PDF

Description

Qaybinta binomialka waxay sharaxeysaa fursadaha guuleysiga ee tijaabada go'an. Waxay ka kooban tahay qaacidooyin iyo qiyamka la filayo oo la xiriira tirada guuleysiga. Quizzku wuxuu caawin doonaa fahamka aragtida iyo isticmaalkiisa xisaabeed.

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