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Frivillig innlevering 1 MET2910

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Oppgave 1.

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I denne oppgaven tar vi utgangspunkt i et datasett med verdiene:

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                                                 5, 1, 9, 12, 8, 15, 4, 2, 6, 8,

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Finn gjennomsnittet til datasettet

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Finn medianverdien i datasettet.

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Finn variansen i datasettet

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Finn ut standarddavviket i datasettet

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Vi er i denne oppgaven gitt det følgende datasettet med 6 observasjoner i par (x,y):

\n

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Finn gjennomsnittet til variabelen x

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Finn gjennomsnittet til variabelen y

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", "minValue": "56", "maxValue": "56", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

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", "minValue": "103", "maxValue": "103", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

", "minValue": "20.40", "maxValue": "20.80", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

", "minValue": "0.79", "maxValue": "0.87", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "Variabeltyper", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Amund Jenssen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/16421/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Avgjør om en kontinuerlig eller diskret variabel er best egnet til å beskrive måling av de følgende situasjonene.

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Karakteren du får i MET 2920

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Antall ganger du fyller bensin på bilen i løpet av et år

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Temperaturen utendørs

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Antall ganger telefonen ringer per dag

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Daglig omsetning i pund på børsen i London

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A og B er to hendelser, der P(A) = 70% og P(B) = 0.6

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", "minValue": "0.3", "maxValue": "0.3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "Tilfeldig investering ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Amund Jenssen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/16421/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Du skal investere 400 000 kroner i aksjefond. Av 10 mulige fond skal du velge 4 tilfeldig, og samme fond kan trekkes ikke to ganger.

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Du vil investere 100 00 i hvert fond. På hvor mange måter kan 4 fond trekkes ut i dette tilfellet?

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Du har bestemt deg for at du skal investere 200 000 kroner i det første fondet som trekkes ut,100 000 kroner i det andre, 60 000 kroner i det tredje og 40 000 kroner i det fjerde.

På hvor mange måter kan 4 fond trekkes ut i dette tilfellet?

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I en boks ligger fem kuler. Av de er tre hvite og to sorte. Du trekker to kuler fra boksen med tilbakelegging

Merk: alle svarene er tall mellom 0 og 1, der kommatall skrives med punktum.

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Hva er sannsynligheten for at den første du trekker er sort?

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Hva er sannsynligheten for at begge er sorte?

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Hva er sannsynligheten for at minst en av dem er sort?

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Du trekker i denne deloppgaven også to kuler, men nå uten tilbakelegging.

Hva er sannsynligheten for at den første du trekker er sort?

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Du trekker i denne deloppgaven også to kuler, men også nå uten tilbakelegging.

Hva er sannsynligheten for at begge er sorte?

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A og B er to hendelser, og vi vet at

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P(A) = 0.60

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P(B) = 0.50)

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P(AB) = 0.25.

Merk: alle svarene er tall mellom 0 og 1, der kommatall skrives med punktum.

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Hva er P(A | B)?

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Hva er P(B | A)?

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En flyplass i Nord-Norge betjenes av tre flyselskaper. Av alle flygninger til denne flyplassen har flyselskap A 60 %, flyselskap B har 30 %, og flyselskap C har 10 %. Av alle avgangene letter 80%, 60 % og 40 % etter ruteplanen for henholdsvis flyselskap A, B og C. Vi definerer følgendehendelser:

A: Flygningen tilhører flyselskap A
B: Flygningen tilhører flyselskap B

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C: Flygningen tilhører flyselskap C

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D: Flygningen letter etter ruteplanen

Merk: alle svarene er tall mellom 0 og 1, der kommatall skrives med punktum.

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Bestem sannsynligheten

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Bestem sannsynligheten

\n

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Bestem sannsynligheten

\n

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Hva er sannsynligheten for at et fly letter etter ruteplanen?

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Dersom et fly letter etter ruteplanen, hva er sannsynligheten for at det var flyselskap A?

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Frivillig innlevering 1.

Merk - 1: oppgavene er de samme oppgavene som i utdelt oppgavesett.

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Merk - 2: alle kommatall skrives med punktum, ikke komma. Med andre ord: 3.41 er et gyldig kommatall, men 3,41 er ikke det.

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Merk - 3: beregningene tar utgangspunkt i to desimalers nøyaktighet og vanlige avrundingsregler.

Merk - 4: alle sansynligheter besvares som et tall mellom 0 og 1, ikke i prosent

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