The proportion of cars that exceed the speed limit in a particular highway is 0.05. Speed radars are available to determine whether a car actually exceeded the limit or not. If the speed limit is exceeded, with 0.92 probability, the electronic radar system will send a penalty ticket to driver's home address. However, in 2% of the cases, the drivers get a ticket when they actually did not exceed the limit. Given that a driver has received a ticket, the probability that s/he actually exceeded the speed limit is (Round to three decimal places, including any zeros at the end.)

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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This Test 100 pls possible
The proportion of cars that exceed the speed limit in a particular highway is 0.05. Speed radars are available to determine
whether a car actually exceeded the limit or not. If the speed limit is exceeded, with 0.92 probability, the electronic radar system
will send a penalty ticket to driver's home address. However, in 2% of the cases, the drivers get a ticket when they actually did not
exceed the limit.
Given that a driver has received a ticket, the probability that s/he actually exceeded the speed limit is
(Round to three decimal places, including any zeros at the end.)
Enter your answer in the answer box.
25
Transcribed Image Text:This Test 100 pls possible The proportion of cars that exceed the speed limit in a particular highway is 0.05. Speed radars are available to determine whether a car actually exceeded the limit or not. If the speed limit is exceeded, with 0.92 probability, the electronic radar system will send a penalty ticket to driver's home address. However, in 2% of the cases, the drivers get a ticket when they actually did not exceed the limit. Given that a driver has received a ticket, the probability that s/he actually exceeded the speed limit is (Round to three decimal places, including any zeros at the end.) Enter your answer in the answer box. 25
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