An insurance company considers that people can be split in two groups : thosewho are likely to have accidents and those who are not. Statistics show that a personwho is likely to have an accident has probability 0.4 to have one over a year; thisprobability is only 0.2 for a person who is not likely to have an accident. We assumethat 30% of the population is likely to have an accident.(a) What is the probability that a new customer has an accident over the first year ofhis contract?(b) A new customer has an accident during the first year of his contract. What is theprobability that he belongs to the group likely to have an accident?Ans: (a- 0.26, b- 0.46)

Let us define some events A : a new customer belongs to the group likely to have an accident B : a…

(a) What is the probability that a new customer has an accident over the first year of his contract? (b) A new customer has an accident during the first year of his contract. What is the probability that he belongs to the group likely to have an accident?

(a) What is the probability that a new customer has an accident over the first year of his contract? (b) A new customer has an accident during the first year of his contract. What is the probability that he belongs to the group likely to have an accident?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Question

An insurance company considers that people can be split in two groups : those
who are likely to have accidents and those who are not. Statistics show that a person
who is likely to have an accident has probability 0.4 to have one over a year; this
probability is only 0.2 for a person who is not likely to have an accident. We assume
that 30% of the population is likely to have an accident.
(a) What is the probability that a new customer has an accident over the first year of
his contract?
(b) A new customer has an accident during the first year of his contract. What is the
probability that he belongs to the group likely to have an accident?
Ans: (a- 0.26, b- 0.46)

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