A study of hospital admissions in New York State found that of the admissions led to treatment-caused injuries. One-seventh of t
hese treatment-caused injuries resulted in death, and one-fourth were caused by negligence. Malpractice claims were filed in one out of 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 (to 2 decimals)? .01 b. What is the probability a person admitted to the hospital will die from a treatment caused injury (to 3 decimals)? .006 c. In the case of a negligent treatment-caused injury, what is the probability a malpractice claim will be paid(to 5 decimals)?
(a) The chance that a patient admitted to the hospital will experience an injury caused by treatment due to negligence is 0.01. (b) The likelihood that someone admitted will die from an injury caused by treatment is 0.006. (c) In instances of a negligence-related treatment injury, the probability that a malpractice claim will be honored is 0.06667. Steps of explanation: Let the following events be defined: X = treatment-caused injuries, A = injuries leading to death, B = injuries caused by negligence, C = malpractice claims filed, D = payments made on claims. Provided data includes: The multiplication rule for probability used is: (a) To compute P (X ∩ B): The probability a patient admitted to the hospital suffers from a treatment-caused injury due to negligence: 0.01. (b) To calculate P (X ∩ A): The probability someone admitted will die due to an injury from treatment is 0.006. (c) For P (C ∩ D | B): The probability that a malpractice claim will be paid in cases of a negligent treatment injury is 0.06667.
<span>Real numbers can be either rational or irrational. sqrt(13) ≈ 3.60555 sqrt(14) ≈ 3.74166 A simple nearby rational approximation is 3.7 = 37/10. An example of an irrational number between them is sqrt(27/2).</span>
