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 20%, 30%, 40%, and 30% 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.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 20%, 30%, 40%, and 30% 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 20%, 30%, 40%, and 30% 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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