Exercice 4: Automated Speed Enforcement (ASE) is a system that uses a camera to enforce speed limits. Suppose that Ottawa Police plan to enforce speed limits by using camera speeds at four different locations within the city limits. The camera speeds at each of these four locations will be operated 40%, 30%, 20%, and 30% of the time, respectively. It is estimated that an engineering student who is speeding on the way to University of Ottawa has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. Suppose that an engi- neering student received a speeding ticket on the way to University. What is the probability that this student passed through the camera speed on the third spot?

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Author:Amos Gilat
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Exercice 4:
Automated Speed Enforcement (ASE) is a system that uses a camera to enforce
speed limits. Suppose that Ottawa Police plan to enforce speed limits by using
camera speeds at four different locations within the city limits. The camera
speeds at each of these four locations will be operated 40%, 30%, 20%, and 30%
of the time, respectively. It is estimated that an engineering student who is
speeding on the way to University of Ottawa has probabilities of 0.2, 0.1, 0.5,
and 0.2, respectively, of passing through these locations. Suppose that an engi-
neering student received a speeding ticket on the way to University. What is the
probability that this student passed through the camera speed on the third spot?
Transcribed Image Text:Exercice 4: Automated Speed Enforcement (ASE) is a system that uses a camera to enforce speed limits. Suppose that Ottawa Police plan to enforce speed limits by using camera speeds at four different locations within the city limits. The camera speeds at each of these four locations will be operated 40%, 30%, 20%, and 30% of the time, respectively. It is estimated that an engineering student who is speeding on the way to University of Ottawa has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. Suppose that an engi- neering student received a speeding ticket on the way to University. What is the probability that this student passed through the camera speed on the third spot?
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