Police plan to enforce speed limits by using radar traps at 4 different locations within the city limits. The radar traps at each of the locations L1, L2, L3 and L4 are operated 40%, 30%, 20%, and 30% of the time, and if a person who is speeding on his way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. (1)what is the probability that he will receive a speeding ticket? (2)lf a person has got a speeding ticket, what is the probability that he speeded at location L3?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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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 4 different locations within the city limits. The radar traps at each of the locations
L1, L2, L3 and L4 are operated 40%, 30%, 20%, and 30% of the time, and if a person who is speeding on his way to work has probabilities of
0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. (1)what is the probability that he will receive a speeding ticket?
(2)lf a person has got a speeding ticket, what is the probability that he speeded at location L3?
Transcribed Image Text:Police plan to enforce speed limits by using radar traps at 4 different locations within the city limits. The radar traps at each of the locations L1, L2, L3 and L4 are operated 40%, 30%, 20%, and 30% of the time, and if a person who is speeding on his way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. (1)what is the probability that he will receive a speeding ticket? (2)lf a person has got a speeding ticket, what is the probability that he speeded at location L3?
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