An insurance company divides its customers into three classes R1, R2 and R3 : good risks, medium risks, and bad risks, respectively. The numbers of these three classes represent 20% of the total population for the class R1, 50% for the class R2 and 30% for the class R3. Statistics indicate that the probabilities of having an accident during the year for a person in one of these three classes are respectively 0.05, 0.15 and 0.30. 1) What is the probability that a randomly selected person from the population has an accident during the year? 2) If Mr. Martin has not had an accident this year, what is the likelihood that he is a good risk?
An insurance company divides its customers into three classes R1, R2 and R3 : good risks, medium risks, and bad risks, respectively. The numbers of these three classes represent 20% of the total population for the class R1, 50% for the class R2 and 30% for the class R3. Statistics indicate that the probabilities of having an accident during the year for a person in one of these three classes are respectively 0.05, 0.15 and 0.30. 1) What is the probability that a randomly selected person from the population has an accident during the year? 2) If Mr. Martin has not had an accident this year, what is the likelihood that he is a good risk?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
An insurance company divides its customers into three classes
R1, R2 and R3 : good risks, medium risks, and bad risks, respectively. The
numbers of these three classes represent 20% of the total population for the class R1, 50% for the class R2 and 30% for the class R3. Statistics indicate that the probabilities of having an accident during the year for a person in one of these three classes are respectively 0.05, 0.15 and 0.30.
1) What is the probability that a randomly selected person from the population has an accident during the year?
2) If Mr. Martin has not had an accident this year, what is the likelihood
that he is a good risk?
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