MY NOTES ASK YOUR TEACHER An auto insurance company classifies each motorist as "high risk" if the motorist has had at least one moving violation during the past calendar year and "low risk" if the motorist has had no violations during the past calendar year. According to the company's data, a high-risk motorist has a 50% chance of remaining in the high-risk category the next year and a 50% chance of moving to the low-risk category. A low-risk motorist has a 30% chance of moving to the high-risk category the next year and a 70% chance of remaining in the low-risk category. In the long term, what percentage of motorists fall in each category? (Round your answers to two decimal places.) high-risk category low-risk category Need Help? Master It Read It

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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MY NOTES
ASK YOUR TEACHER
An auto insurance company classifies each motorist as "high risk" if the motorist has had at least one moving violation during the past calendar year and "low risk" if the motorist has had no
violations during the past calendar year. According to the company's data, a high-risk motorist has a 50% chance of remaining in the high-risk category the next year and a 50% chance of moving to
the low-risk category. A low-risk motorist has a 30% chance of moving to the high-risk category the next year and a 70% chance of remaining in the low-risk category. In the long term, what
percentage of motorists fall in each category? (Round your answers to two decimal places.)
high-risk category
low-risk category
%
Need Help?
Master It
Read It
Transcribed Image Text:MY NOTES ASK YOUR TEACHER An auto insurance company classifies each motorist as "high risk" if the motorist has had at least one moving violation during the past calendar year and "low risk" if the motorist has had no violations during the past calendar year. According to the company's data, a high-risk motorist has a 50% chance of remaining in the high-risk category the next year and a 50% chance of moving to the low-risk category. A low-risk motorist has a 30% chance of moving to the high-risk category the next year and a 70% chance of remaining in the low-risk category. In the long term, what percentage of motorists fall in each category? (Round your answers to two decimal places.) high-risk category low-risk category % Need Help? Master It Read It
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