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?

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Chapter1: Starting With Matlab
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**Transcription for Educational Use:**

**Title:** Understanding Length of Stay in Intensive Care Units (ICUs)

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.)

**Questions:**

(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?

[   ]

**Note:** The exercise involves calculating probabilities using the exponential distribution, a common model for time until an event occurs, such as the length of stay in an ICU. You should round your answers to four decimal places for precision. 

**Additional Features:**

- **My Notes:** A section allowing students to take personalized notes on the topic.
- **Ask Your Teacher:** A feature that provides an opportunity for students to query their instructors for further clarification.
- **Practice Another:** An interactive option enabling students to try additional similar problems for practice.
Transcribed Image Text:**Transcription for Educational Use:** **Title:** Understanding Length of Stay in Intensive Care Units (ICUs) 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.) **Questions:** (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? [ ] **Note:** The exercise involves calculating probabilities using the exponential distribution, a common model for time until an event occurs, such as the length of stay in an ICU. You should round your answers to four decimal places for precision. **Additional Features:** - **My Notes:** A section allowing students to take personalized notes on the topic. - **Ask Your Teacher:** A feature that provides an opportunity for students to query their instructors for further clarification. - **Practice Another:** An interactive option enabling students to try additional similar problems for practice.
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