STATISTICS I (İSTATİSTİK) - (İNGİLİZCE) Dersi Basics of Probability soru detayı:

PAYLAŞ:

SORU:
Assume the probability of event "Ali finishes his project in 10 days" is 0.4 and the probability of "Aysel finishes her project in 10 days" is 0.7. What is the probability of at least one project finish in 10 days?

CEVAP:
In 10 days either 2 projects will finish(P(2)) or 1 project will finish(P(1)) or none (zero) project will finish (P(0)) in 10 days. Thus:

P(0)+P(1)+P(2)=1

We are interested in at least one project to finish. So we have to compute P(1)+P(2)

P(1)+P(2)=1-P(0)

Since P(Ali Finish)=0.4, then P(Ali Doesnt Finish)=1-0.4=0.6

Since P(Aysel Finish)=0.7, then P(Ali Doesnt Finish)=1-0.7=0.3

Thus P(0)=P(Neither Ali nor Aysel Finish)=06*0.3=0.18

Therefore:

P(1)+P(2)=1-P(0)=1-0.18=0.82

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