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Police plan to enforce speed limits by using radar traps at four different locations within the city limits. The radar traps at each of the locations L₁, L₂, L3, and L4 will be operated 30%, 40%, 20%, and 40% of the time. A person who is speeding on her way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. If the person received a speeding ticket on her way to work, what is the probability that she passed through the radar trap located at L₁?

Police plan to enforce speed limits by using radar traps at four different locations within the city limits. The radar traps at each of the locations L₁, L₂, L3, and L4 will be operated 30%, 40%, 20%, and 40% of the time. A person who is speeding on her way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. If the person received a speeding ticket on her way to work, what is the probability that she passed through the radar trap located at L₁?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Police plan to enforce speed limits by using radar traps at four different locations within the city limits. The radar traps at each of the locations L₁, L2, L3, and L4 will be operated 30%, 40%, 20%, and 40% of the time. A person who is speeding on her way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. If the person received a speeding ticket on her way to work, what is the probability that she passed through the radar trap located at L₁,? If the person received a speeding ticket on her way to work, the probability that she passed through the radar trap located at L₁ is (Type an integer or a simplified fraction.)
Transcribed Image Text:Police plan to enforce speed limits by using radar traps at four different locations within the city limits. The radar traps at each of the locations L₁, L2, L3, and L4 will be operated 30%, 40%, 20%, and 40% of the time. A person who is speeding on her way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. If the person received a speeding ticket on her way to work, what is the probability that she passed through the radar trap located at L₁,? If the person received a speeding ticket on her way to work, the probability that she passed through the radar trap located at L₁ is (Type an integer or a simplified fraction.)
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