A study of 31,000 hospital admissions in New York State found that 4% of the admissions led to treatment-caused injuries. One-seventh of these treatment-caused injuries resulted in death, and one-fourth were caused by negligence. Malpractice claims were filed in one out of 7.5 cases involving negligence, and payments were made in one out of every two claims. a. What is the probability a person admitted to t

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Chapter1: Combinatorial Analysis
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A study of 31,000 hospital admissions in New York State found that 4% of the admissions
led to treatment-caused injuries. One-seventh of these treatment-caused injuries resulted in
death, and one-fourth were caused by negligence. Malpractice claims were filed in one out
of 7.5 cases involving negligence, and payments were made in one out of every two claims.

a. What is the probability a person admitted to the hospital will suffer a treatment-caused
injury due to negligence?

b. What is the probability a person admitted to the hospital will die from a treatmentcaused
injury?
c. In the case of a negligent treatment-caused injury, what is the probability a malpractice
claim will be paid?

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