Appointments in a medical office are scheduled every 15 minutes. Throughout the day, appointments will be running on time or late, depending on the previous appointment only, according to the following matrix of transition probabilities: PreviousAppointmentNext AppointmentOn TimeLateOn Time.70.30Late.45.55 The day begins with the first appointment on time, or 1, 0 (S0). What are the state probabilities for periods 1, 2, and 3? Period 1 __________ Period 2 __________ Period 3 __________

From given data first we make Transition probability matrix

Answered: The day begins with the first…

The day begins with the first appointment on time, or 1, 0 (S0). What are the state probabilities for periods 1, 2, and 3?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Question

Appointments in a medical office are scheduled every 15 minutes. Throughout the day, appointments will be running on time or late, depending on the previous appointment only, according to the following matrix of transition probabilities:

Previous Appointment	Next Appointment
On Time	Late
On Time	.70	.30
Late	.45	.55

The day begins with the first appointment on time, or 1, 0 (S₀). What are the state probabilities for periods 1, 2, and 3?

Period 1 __________

Period 2 __________

Period 3 __________

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