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Samenvatting Examen - statistiek

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Examen - statistiek

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  • December 26, 2023
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  • 2021/2022
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Examen statistiek versie 1

Vraag1

Een huis in voorzien van een alarminstallatie , als er een inbraak is zal er met 96% kans een
alarm komen, maar ook als er geen inbraak is , is er door

aardbevingen of andere storingen met een kans op een 1% de alarm. In de woonwijken is er een
kans van 0.3% opeen inbraak. Vannacht is er een alarm, Stel een kruistabel op. Hoe groot is de
kans dat er een inbraak plaatst vindt?

Inbraak= I Alarm= A

Geen Inbraak= i geen alarm= a

gegeven: P( A^I)=96%=0.96

P(i^A)= 1%= 0.01

I i Tot

A (3) 0.0288 (4) 0.0097 (7)0.0385

a (5) 0.0012 (6)0.9603 (8)0.9615

Tot (1) 0.03 (2)0.97 1

(2) 1-0.03=0.97 (3)= P(A^I)= P(I)* P(A/I)= 0.03* 0.96 = 0.0288

(4)= P(A^i)= P(i)*P(A/i)=0.97 *0.01=0.0097

(5)= (1)-(3)= 0.03-0.0288 = 0.0012

(6) = (2)-(4) =0.9603

Vraag : Hoe groot is de kans dat er een inbraak plaatsvindt

Weet ik niet weet iemand dat?

vraag 2:

frequentietabel

xi ni fi Ni Fi

0 2544 0.82 2544 0.82

1 431 0.14 2975 0.96

2 77 0.03 3052 0.98

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