Question

In: Statistics and Probability

7. (9 pts.) On weekend nights, a large urban hospital has an average of 4.8 emergency...

7. (9 pts.) On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour. Let X be the number of arrivals per hour on a weekend night at this hospital. Assume that successive arrivals are random and independent.

(a ) What is the distribution of X ?

(b) What is the probability of observing exactly two emergency arrivals?

(c) What is the probability of observing more than two emergency arrivals?

Solutions

Expert Solution



Related Solutions

A 21-year-old woman presented to the emergency department of an urban hospital with a history of...
A 21-year-old woman presented to the emergency department of an urban hospital with a history of systemic lupus. Her complaint was dehydration, dizziness, and feeling faint. The woman also had a recent history of being dehydrated, complicated by renal involvement from lupus and having to receive bolus fluids. She was on multiple medications, including steroids and methotrexate. An intravenous (IV) line was started, and blood was drawn for labs. The emergency department physician returned to report that the lab values...
7. A hospital conducted a study of the waiting time in its emergency room. The hospital...
7. A hospital conducted a study of the waiting time in its emergency room. The hospital has a main campus and three satellite locations. Management has a business objective of reducing waiting time for emergency room cases that do not require immediate attention. To study this, a random sample of 15 emergency room cases that did not require immediate attention at each location were selected on a particular day, and the waiting time (measured from check-in to when the patient...
You are working as a nurse on a cancer floor in a large urban hospital. You...
You are working as a nurse on a cancer floor in a large urban hospital. You come into work and learn that you will be working with several new patients during your shift change briefing meeting. One of those patients, Jane, has been admitted to the hospital due to issues related to a cancer diagnosis. She was given medication to address a cancerous tumor along with Propofol to sedate her for the procedure.   During the shift change meeting, you learn...
During the COVID-19 pandemic, the hospital emergency department at a very busy hospital receives, on average,...
During the COVID-19 pandemic, the hospital emergency department at a very busy hospital receives, on average, one patient every 25.1 minutes. The standard deviation of inter-arrival time between two consecutive patients is 9.8 minutes. Calculate the average patients arrival (receiving) rate per day for this hospital emergency service. Note that, the emergency service of this hospital is open 24/7, and one day is equivalent to 24 hours.
You work in the surgical intensive care unit (ICU) of a large urban hospital. Over the...
You work in the surgical intensive care unit (ICU) of a large urban hospital. Over the past 2 days, a number of patients in the unit have developed serious Staphylococcus aureus infections. Why do postoperative patients have an increased risk of infection?
Plateau University Hospital is a large academic medical center in a major urban area. In order...
Plateau University Hospital is a large academic medical center in a major urban area. In order to survive in a competitive and economically challenging geographic market, Plateau built upon a strategy of inpatient volume growth. Each time the volume group, it increased capacity through savings in reduced length of stay (LOS). This allowed the hospital to meet its ambitious budgetary goals and realize the desired growth and profit targets. To accomplish this, Plateau has made some dramatic strides in efficiency...
You are the recently appointed Director of a large urban and  rural hospital whose primary source of...
You are the recently appointed Director of a large urban and  rural hospital whose primary source of income is Medicaid patients. COVID has wreaked havoc on your finances, Federal state funding is down by 30%, and you may have to reduce services and lay off staff. Using models from Ginter, and at least five outside sources, explain and discuss how you would bring stability back to this institution while not sacrificing needed services.
Patients arrive at the emergency room of Mercy Hospital at the average rate of 12 in...
Patients arrive at the emergency room of Mercy Hospital at the average rate of 12 in 60 minutes. what is the probability that 10 patients will arrive in 60 minutes? What is the probability that 4 patients will arrive in 30 minutes?
A hospital conducted a study of the waiting time in its emergency room. The hospital has...
A hospital conducted a study of the waiting time in its emergency room. The hospital has a main campus and three satellite locations. Management had a business objective of reducing waiting time for emergency room cases that did not require immediate attention. To study this, a random sample of 15 emergency room cases that did not require immediate attention at each location were selected on a particular day, and the waiting times (measured from check-in to when the patient was...
A hospital conducts a study of the waiting times in its emergency room. The hospital has...
A hospital conducts a study of the waiting times in its emergency room. The hospital has a main campus nd three satellite locations. Management had a business objective of reducing waiting time for emergency room cases that did not require immediate attention.To study this, a random sample of 15 emergency room cases that did not require immediate attention at each location were selected on a particular day, and the waiting times (measured from check-in to when the patient was called...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT