of 31.000 hospital admissions in New York State found that 4% of the admissions led to treatment-caused injuries. One-soth of these treatment-caused injunies resulted in death, and one-half were caused by negligence, Malpractice claims were filed in one out of 7.5 cases involving negligence, and payments were made in one oul 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 treatment-caused injury? (Round your answer to three decimal places.) 0.007 (c) What is the probability a person admitted to the hospital is paid a malpractice claim? (Round your ansvwer to five decimal places.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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-socth of these treatment-caused injunies
resulted in death, and one-half 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 treatment-caused injury? (Round your ansver to three decimal places.)
0007
(c) What is the probability a person admitted to the hospital is paid a malpractice claim? (Round your answer to five decimal places.)
Transcribed Image Text:A study of 31.000 hospital admissions in New York State found that 4% of the admissions led to treatment-caused injuries. One-socth of these treatment-caused injunies resulted in death, and one-half 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 treatment-caused injury? (Round your ansver to three decimal places.) 0007 (c) What is the probability a person admitted to the hospital is paid a malpractice claim? (Round your answer to five decimal places.)
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