A study on medical malpractice found that 23% of all doctors had been sued. Of those doctors who had been sued, 20% work for HMOs. Industry statistics show that 30% of all doctors work for HMOs. a. What is the probability that a doctor who had not been sued works for an HMO? b. What is the probability that a doctor who works for an HMO has been sued? c. What is the probability that a doctor who does not work for an HMO has been sued? d. Who will pay higher malpractice insurance, HMO or non-HMO doctors? Why?

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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A study on medical malpractice found that 23% of all doctors had been sued. Of those doctors who had been sued, 20% work for HMOs. Industry statistics show that 30% of all doctors work for HMOs.

a. What is the probability that a doctor who had not been sued works for an HMO?

b. What is the probability that a doctor who works for an HMO has been sued?

c. What is the probability that a doctor who does not work for an HMO has been sued?

d. Who will pay higher malpractice insurance, HMO or non-HMO doctors? Why?

 

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