Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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. according to a large-scale study of elderly icu patients, the average length of stay in the icu is days (critical care medicine journal article). assume that this length of stay in the icu has an exponential distribution. do not round intermediate calculations.

Sagot :

abiolataiwo2015

a. Probability that the length of stay in the ICU is one day or less is:0.2614.

b. Probability that the length of stay in the ICU is between two and three days is:0.1426

c. Probability that the length of stay in the ICU is more than five days is:0.2198.

Probability

a. Probabilty of one day or less.

Using this formula

P(X≤1)=1-e^-ux

Since mean is 3.3 the decay parameter is:

u=1/3.3

Hence:

P(X≤1)=1-e^-1/3.3

P(X≤1)=1-e^-0.3030

P(X≤1)=1-0.7385991

P(X≤1)=0.2614

b. Probability of two and three days.

P(X≤2)=1-e^-ux

P(X≤2)=1-e^-2/3.3

P(X≤2)=1-e^-0.60606

P(X≤2)=1-0.54549589

P(X≤2)=0.45450

P(X≤3)=1-e^-ux

P(X≤3)=1-e^-3/3.3

P(X≤3)=1-e^-0.909091

P(X≤3)=1-0.402890

P(X≤3)=0.59711

Hence:

P(2≤X≤3)=0.59711-0.45450

P(2≤X≤3)=0.1426

c. Probability of more than 5 days.

P(X≤5)=e^-ux

P(X≤5)=e^-5/3.3

P(X≤5)=e^-1.515152

P(X≤5)=0.219775

P(X≤5)=0.2198 (Approximately)

Inconclusion the probability that the length of stay in the ICU is one day or less is:0.2614.

Learn more about probability here:https://brainly.com/question/25710880

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.