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19 The personal computer industry is very fast moving, and technology provides motivation for customers to upgrade with new computers every few years. Brand loyalty is very important, and companies try to do things to keep their customers happy. How- ever, some current customers will switch to a dif- ferent company. Three particular brands–Doorway, Bell, and Kumpaq-hold the major shares of the market. People who own Doorway computers will buy another Doorway 80% of the time, while the rest will switch to the other companies in equal pro- portions. Owners of Bell computers will buy Bell again 90% of the time, while 5% will buy Door- way and 5% will buy Kumpaq. About 70% of the Kumpaq owners will make Kumpaq their next pur- chase while 20% will buy Doorway and the rest will buy Bell. If each brand currently has 200,000 customers who plan to buy a new computer in the next year, how many computers of each type will be purchased?

19 The personal computer industry is very fast moving, and technology provides motivation for customers to upgrade with new computers every few years. Brand loyalty is very important, and companies try to do things to keep their customers happy. How- ever, some current customers will switch to a dif- ferent company. Three particular brands–Doorway, Bell, and Kumpaq-hold the major shares of the market. People who own Doorway computers will buy another Doorway 80% of the time, while the rest will switch to the other companies in equal pro- portions. Owners of Bell computers will buy Bell again 90% of the time, while 5% will buy Door- way and 5% will buy Kumpaq. About 70% of the Kumpaq owners will make Kumpaq their next pur- chase while 20% will buy Doorway and the rest will buy Bell. If each brand currently has 200,000 customers who plan to buy a new computer in the next year, how many computers of each type will be purchased?

A First Course in Probability (10th Edition)
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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19 The personal computer industry is very fast moving, and technology provides motivation for customers to upgrade with new computers every few years. Brand loyalty is very important, and companies try to do things to keep their customers happy. How- ever, some current customers will switch to a dif- ferent company. Three particular brands-Doorway, Bell, and Kumpaq-hold the major shares of the market. People who own Doorway computers will buy another Doorway 80% of the time, while the rest will switch to the other companies in equal pro- portions. Owners of Bell computers will buy Bell again 90% of the time, while 5% will buy Door- way and 5% will buy Kumpaq. About 70% of the Kumpaq owners will make Kumpaq their next pur- chase while 20% will buy Doorway and the rest will buy Bell. If each brand currently has 200,000 customers who plan to buy a new computer in the next year, how many computers of each type will be purchased? 20 In Section 6, we investigated an accounts receivable problem. How would the paid category and the bad debt category change with the following matrix of transition probabilities? 1 1 0 0 P = 0.7 0.2 0.1 0.4 0.2 0.2 0.2
Transcribed Image Text:19 The personal computer industry is very fast moving, and technology provides motivation for customers to upgrade with new computers every few years. Brand loyalty is very important, and companies try to do things to keep their customers happy. How- ever, some current customers will switch to a dif- ferent company. Three particular brands-Doorway, Bell, and Kumpaq-hold the major shares of the market. People who own Doorway computers will buy another Doorway 80% of the time, while the rest will switch to the other companies in equal pro- portions. Owners of Bell computers will buy Bell again 90% of the time, while 5% will buy Door- way and 5% will buy Kumpaq. About 70% of the Kumpaq owners will make Kumpaq their next pur- chase while 20% will buy Doorway and the rest will buy Bell. If each brand currently has 200,000 customers who plan to buy a new computer in the next year, how many computers of each type will be purchased? 20 In Section 6, we investigated an accounts receivable problem. How would the paid category and the bad debt category change with the following matrix of transition probabilities? 1 1 0 0 P = 0.7 0.2 0.1 0.4 0.2 0.2 0.2
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