Express all answers as decimals rounded to 3 decimal places, if needed. Express percentages decimals (instead of 25.6%, use .256) Cell phone users in Boise can choose between three carriers: Sprint, AT&T, and Verizon Advertising by all three companies results in a continual shift of customers. Each year, Sprint loses 30% of customers to AT&T and 30% to Verizon. AT&T loses 20% to Sprint and 10% to Verizon. Verizon loses 25% to Sprint and 25% to AT&T. Currently, Sprint has 25% of the market, AT&T has 35%, and Verizon has 40%. Use the order Sprint (S), AT&T (A), Verizon (V) throughout this assignment. 1. State the probability vector: 2. Create the transition matrix, labeling rows and columns, and draw the transition diagram. Create your matrix with the rows ordered S, A, and V, and columns ordered S, A, and V. 3. Assume that for 5 years this trend continues. State the transition matrix after 5 years. 4. What is the market share for each company after 5 years? Sprint: AT&T: Verizon: 5. If the trend continues indefinitely, what will the market share be for each in the long run? Sprint: AT&T:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
ChapterCSR: Contents Of Student Resources
Section: Chapter Questions
Problem 7.31EP
icon
Related questions
Question
Express all answers as decimals rounded to 3 decimal places, if needed. Express percentages as
decimals (instead of 25.6%, use .256)
Cell phone users in Boise can choose between three carriers: Sprint, AT&T, and Verizon.
Advertising by all three companies results in a continual shift of customers. Each year,
Sprint loses 30% of customers to AT&T and 30% to Verizon. AT&T loses 20% to Sprint
and 10% to Verizon. Verizon loses 25% to Sprint and 25% to AT&T. Currently, Sprint
has 25% of the market, AT&T has 35%, and Verizon has 40%.
Use the order Sprint (S), AT&T (A), Verizon (V) throughout this assignment.
1. State the probability vector:
2. Create the transition matrix, labeling rows and columns, and draw the transition diagram.
Create your matrix with the rows ordered S, A, and V, and columns ordered S, A, and V.
3. Assume that for 5 years this trend continues. State the transition matrix after 5 years.
4. What is the market share for each company after 5 years?
Sprint:
AT&T:
Verizon:
5. If the trend continues indefinitely, what will the market share be for each in the long run?
Sprint:
AT&T:
Transcribed Image Text:Express all answers as decimals rounded to 3 decimal places, if needed. Express percentages as decimals (instead of 25.6%, use .256) Cell phone users in Boise can choose between three carriers: Sprint, AT&T, and Verizon. Advertising by all three companies results in a continual shift of customers. Each year, Sprint loses 30% of customers to AT&T and 30% to Verizon. AT&T loses 20% to Sprint and 10% to Verizon. Verizon loses 25% to Sprint and 25% to AT&T. Currently, Sprint has 25% of the market, AT&T has 35%, and Verizon has 40%. Use the order Sprint (S), AT&T (A), Verizon (V) throughout this assignment. 1. State the probability vector: 2. Create the transition matrix, labeling rows and columns, and draw the transition diagram. Create your matrix with the rows ordered S, A, and V, and columns ordered S, A, and V. 3. Assume that for 5 years this trend continues. State the transition matrix after 5 years. 4. What is the market share for each company after 5 years? Sprint: AT&T: Verizon: 5. If the trend continues indefinitely, what will the market share be for each in the long run? Sprint: AT&T:
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell