= 0 for n> 3. The death rates are ₁ = 3, ₂ = 4, diagram for this birth-and death process. mulas for the birth-and-death process to calculate Po,.
= 0 for n> 3. The death rates are ₁ = 3, ₂ = 4, diagram for this birth-and death process. mulas for the birth-and-death process to calculate Po,.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:= = 3,
6. Consider the birth-and death process with the following mean rates. The birth rates are λ = 2, λ₁
3, μ₂ =
= 4, µ3
1, and un = 2 for n ≥ 4.
-
La'
^₂ = 2, 13
1, and n = 0 for n> 3. The death rates are ₁
(a) Construct the rate diagram for this birth-and death process.
(b) Use the general formulas for the birth-and-death process to calculate P₁, P₁, ···. Also calculate L,
Wq.
=
=
W, and
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