Question

Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the...

Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUs as efficiently as possible in a hospital. Suppose that a large-scale study of elderly ICU patients shows that the average length of stay in the ICU is 3.8 days. Assume that this length of stay in the ICU has an exponential distribution. (Round your answers to four decimal places.)

(a)

What is the probability that the length of stay in the ICU is one day or less?

(b)

What is the probability that the length of stay in the ICU is between two and three days?

(c)

What is the probability that the length of stay in the ICU is more than five days?

Homework Answers

Answer #1

Answer:

Given,

= 3.8

Consider exponential distribution P(X <= x) = 1 - e^(-x/)

a)

To give the probability that the length of stay in the ICU is one day or less

P(X <= 1) = 1 - e^(-1/3.8)

= 0.2314

b)

To give the probability that the length of stay in the ICU is between two and three days

P(2 <= X <= 3) = P(X <= 3) - P(X <= 2)

= (1 - e^(-3/3.8)) - (1 - e^(-2/3.8))

= 0.5459 - 0.4092

= 0.1367

c)

To give the probability that the length of stay in the ICU is more than five days

P(X > 5) = e^(-5/3.8)

= 0.2683

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the...
Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUs as efficiently as possible in a hospital. Suppose that a large-scale study of elderly ICU patients shows that the average length of stay in the ICU is 3.8 days. Assume that this length of stay...
an intensive care unit of Hospital Sg Buloh keeps information on the patients suffering from Covid...
an intensive care unit of Hospital Sg Buloh keeps information on the patients suffering from Covid 19in the following input file named covid.txt. The file contains the patient's gender, name, age and number of days in ward followed by daily temperatures for 50 patients. The symbol ';' indicate the delimiter of the data. female; Mariam Binti Ramli; 20 4 39.0 39.0 38.5 37.0 female; Aisyah Binti Salleh; 41 3 41.0 39.0 38.0 male; Nuh Harraz bin Amirul; 35 5 41.0...
Findings  In a cohort of 2215 adults with COVID-19 who were admitted to intensive care units at...
Findings  In a cohort of 2215 adults with COVID-19 who were admitted to intensive care units at 65 sites, 784 (35.4%) died within 28 days, with wide variation among hospitals. Factors associated with death included older age, male sex, morbid obesity, coronary artery disease, cancer, acute organ dysfunction, and admission to a hospital with fewer intensive care unit beds. Meaning  This study identified demographic, clinical, and hospital-level factors associated with death in critically ill patients with COVID-19 that may be used to...
Case study #4 Patricia Clements, RN, has worked in the adult medical-surgical intensive care unit (ICU)...
Case study #4 Patricia Clements, RN, has worked in the adult medical-surgical intensive care unit (ICU) of Lakeland Hospital since graduating from nursing school 5 years ago. The hospital is experiencing a nursing shortage, and despite intensive recruitment efforts, RN vacancies are high in almost every unit. Fortunately the unit in which Patricia works has a stable RN staff, and although she is concerned about the inadequate staffing she hears about on other nursing units, she is thankful that her...
Case 24: Medication Error You are a physician making rounds on your patients when you arrive...
Case 24: Medication Error You are a physician making rounds on your patients when you arrive at Mrs. Buckman’s room. She’s an elderly lady in her late ’70s who recently had a colon surgery. She is also the wife of a prominent physician at the hospital. She has been known to be somewhat confrontational with the nursing staff. However, today she states she was just given a shot of insulin to cover her elevated blood sugar and the amount of...
Case 46: Sleeping on the Job: A Managerial Challenge Marty is an African American nurse who...
Case 46: Sleeping on the Job: A Managerial Challenge Marty is an African American nurse who has worked in a major university hospital for over six years evaluating patients’ rehabilitation needs. She used to have an autonomous job making patient visits in area city hospitals; however, two years ago her role in the hospital changed, and she is now working Monday through Friday in an office. Three years ago Marty’s mother was diagnosed with dementia and is now dependent in...
What Happens When Hospitals Run out of Ventilators and Other Emergency Rescue Equipment? Patricia Benner, R.N.,...
What Happens When Hospitals Run out of Ventilators and Other Emergency Rescue Equipment? Patricia Benner, R.N., Ph.D., FAAN April 7, 2020 Our overwhelmed, or soon to be overwhelmed hospitals, face rationing precious life-saving equipment, such as ventilators. Our national lack of preparedness for a global pandemic will, in the near future, force local physicians and nurses to ration ventilators and oxygen delivery equipment, for patients and Personal Protective Equipment (PPE) for caregivers. How do health care providers make decisions about...
________ client-centered therapy centers on the patient's goals and ways of solving problems. Select one: a....
________ client-centered therapy centers on the patient's goals and ways of solving problems. Select one: a. Rogers' b. Freud's c. Beck d. Ellis Question 2 Not yet answered Points out of 1.00 Flag question Question text A frequently prescribed drug therapy for managing one's depression is ____________. Select one: a. Adderall b. Lithium c. Prozac d. Thorazine Question 3 Not yet answered Points out of 1.00 Flag question Question text A major goal of modern inpatient psychiatric treatment is: Select...
Sign In INNOVATION Deep Change: How Operational Innovation Can Transform Your Company by Michael Hammer From...
Sign In INNOVATION Deep Change: How Operational Innovation Can Transform Your Company by Michael Hammer From the April 2004 Issue Save Share 8.95 In 1991, Progressive Insurance, an automobile insurer based in Mayfield Village, Ohio, had approximately $1.3 billion in sales. By 2002, that figure had grown to $9.5 billion. What fashionable strategies did Progressive employ to achieve sevenfold growth in just over a decade? Was it positioned in a high-growth industry? Hardly. Auto insurance is a mature, 100-year-old industry...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT