In an insurance portfolio 10% of the policy holders are in Class A₁ (high risk), 40% are in Class A₂ (medium risk), and 50% are in Class A3 (low risk). The probability a Class A₁ policy has a claim in a given year is .10; similar probabilities for Classes A2 and A3 are .05 and .02. Find the probability that if a claim is made, it is for a Class A₁ policy.

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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In an insurance portfolio 10% of the policy holders are in Class A₁ (high risk), 40% are
in Class A₂ (medium risk), and 50% are in Class A3 (low risk). The probability a Class A₁ policy has
a claim in a given year is .10; similar probabilities for Classes A2 and A3 are .05 and .02. Find the
probability that if a claim is made, it is for a Class A₁ policy.
Transcribed Image Text:In an insurance portfolio 10% of the policy holders are in Class A₁ (high risk), 40% are in Class A₂ (medium risk), and 50% are in Class A3 (low risk). The probability a Class A₁ policy has a claim in a given year is .10; similar probabilities for Classes A2 and A3 are .05 and .02. Find the probability that if a claim is made, it is for a Class A₁ policy.
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