A study of 35,000 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.)