pital admissions in New York State found that the adm ons led to ent-caused inj 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 treatment-caused injury? (Round your answer to three decimal places.) (c) What is the probability a person admitted to the hospital is paid a malpractice claim? (Round your answer 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 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A study of 36,000 hospital admissions in New York State found that 5% 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 treatment-caused injury? (Round your answer to
three decimal places.)
(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 36,000 hospital admissions in New York State found that 5% 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 treatment-caused injury? (Round your answer to three decimal places.) (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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