Medicine and Clinical Studies The number of Emergency Room visits has increased over the past several years in the United States. One reason for this increase may be that in difficult economic times people tend to postpone routine health care. This results in more visits to the ER. Of all patients who visit an Emergency Room, suppose 22% are seen in less than 15 minutes, 13% are admitted to the hospital, and 5% are seen in less than 15 minutes and admitted to the hospital.11 Suppose a patient who made an Emergency Room visit is selected at random.
a. Carefully sketch a Venn diagram showing the relationship between the events seen in less than 15 minutes and admitted to the hospital, and add probabilities to the appropriate regions.
b. What is the probability that the patient was seen in less than 15 minutes or admitted to the hospital?
c. What is the probability that the patient was seen in less than 15 minutes but not admitted to the hospital?
d. What is the probability that the patient was neither seen in less than 15 minutes nor admitted to the hospital?