Time between Arrivals (min) Probability 5 .06 10 .10 15 .23 20 .29 25 .18 30 .14 The attention needed by a patient who comes to the emergency room is defined by the following probability distribution: Patient Needs to See Probability .50 Doctor alone Nurse alone .20 Both 30 If a patient needs to see both the doctor and the nurse, he or she cannot see one before the other; that is, the patient must wait to see both together. The length of the patient's visit (in minutes) is defined by the following probability distributions: Doctor Probability | Nurse Probability | Both Probability 10 .22 5 .08 15 .07 15 .31 10 24 20 .16 20 25 15 .51 25 .21 25 .12 20 .17 30 .28 30 .10 35 .17 40 .11 Simulate the arrival of 20 patients to the emergency room and compute the probability that a patient must wait and the average waiting time. Based on this one simulation, does it appear this system provides adequate patient care?
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
The emergency room of the community hospital in
Farmburg has a receptionist, one doctor, and one nurse.
The emergency room opens at time zero, and patients
begin to arrive sometime later. Patients arrive at the
emergency room according to the following probability
distribution:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
