An insurance company insured 2000 scooter drivers, 4000 car drivers, and 6000 truck drivers. The probability of an accident involving a scooter driver, car driver, and a truck is 0.01, 0.03, and 0.015 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver? Please solve using Bayes' Theorem and explain completely. Thanks.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Hello. Please answer the attached Probability question correctly by using Bayes' Theorem.

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An insurance company insured 2000 scooter drivers, 4000 car drivers, and 6000 truck drivers.
The probability of an accident involving a scooter driver, car driver, and a truck is 0.01, 0.03, and
0.015 respectively. One of the insured persons meets with an accident. What is the probability
that he is a scooter driver?
Please solve using Bayes' Theorem and explain completely. Thanks.
Transcribed Image Text:An insurance company insured 2000 scooter drivers, 4000 car drivers, and 6000 truck drivers. The probability of an accident involving a scooter driver, car driver, and a truck is 0.01, 0.03, and 0.015 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver? Please solve using Bayes' Theorem and explain completely. Thanks.
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