A study of 36,000 hospital admissions in New York State found that 5% of the admissions led to treatment-caused injuries. One-sixth of these treatment-caused injuries 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 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.)
Added by Dylan A.
Close
Step 1
- Total hospital admissions: 36,000 - Percentage of admissions leading to treatment-caused injuries: 5% - Fraction of treatment-caused injuries resulting in death: 1/6 - Fraction of treatment-caused injuries caused by negligence: 1/2 - Malpractice claims filed in Show moreā¦
Show all steps
Your feedback will help us improve your experience
Jen H and 96 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Treatment-Caused Injuries. 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 treatmentcaused injury due to negligence? b. What is the probability a person admitted to the hospital will die from a treatmentcaused injury? c. What is the probability a person admitted to the hospital will result in a malpractice claim that must be paid due to a negligent treatment caused injury?
The probability that a patient recovers from a certain type of operation is 0.76. (a) What is the probability that 2 of the next 3 patients who have this operation survive? (b) What is the probability that all of the next 3 patients who have this operation survive? (a) The probability is (Round to five decimal places as needed:)
David N.
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 1 out of 7.5 cases involving negligence, and payments were made in one out of every two claims. $\begin{array}{l}{\text { a. What is the probability that a person admitted to the hospital will suffer a treatment- }} \\ {\text { caused injury due to negligence? }} \\ {\text { b. What is the probability that a person admitted to the hospital will die from a treatment- }} \\ {\text { caused injury? }} \\ {\text { c. In the case of a negligent treatment-caused injury, what is the probability that a }} \\ {\text { malpractice claim will be paid? }}\end{array}$
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Watch the video solution with this free unlock.
EMAIL
PASSWORD