Out of all patients being admitted to a particular ward of a hospital, approximately 16% choose a private room (at an additional cost) versus a semi-private or ward room. However, since there are a limited number of private rooms available, not all patients can have their requests honoured. Today, 17 patients are admitted to this ward, but there are only 3 private rooms available. What is the probability that exactly three patients will request a private room? What is the probability that a patient will not have his/her request for a private room honoured (i.e., at least 4 patients will request private rooms)? What is the expected number of patients that will request a private room today?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Out of all patients being admitted to a particular ward of a hospital, approximately 16% choose a private room (at an additional cost) versus a semi-private or ward room. However, since there are a limited number of private rooms available, not all patients can have their requests honoured. Today, 17 patients are admitted to this ward, but there are only 3 private rooms available.

  1. What is the probability that exactly three patients will request a private room?
  2. What is the probability that a patient will not have his/her request for a private room honoured (i.e., at least 4 patients will request private rooms)?
  3. What is the expected number of patients that will request a private room today?
  4. Using the Range Rule of Thumb, what is the approximate range of the number of patients that will request a private room today?
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