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6. At a certain company, on any given day some employees are at work and the rest are absent. It is known that if an employee is at work to- day, there is a 80% chance that they will be at work tomorrow (and a 20% chance that they will be absent tomorrow), and if the employee is absent today, there is a 75% chance that they will be at work to- morrow (and a 25% chance that they will be absent tomorrow). Draw the associated transition diagram. Assuming the number of exmployees stays consistent at 1800, in the long term, how many employees do we expect to be at work each day? How many do we expect to stay home?

6. At a certain company, on any given day some employees are at work and the rest are absent. It is known that if an employee is at work to- day, there is a 80% chance that they will be at work tomorrow (and a 20% chance that they will be absent tomorrow), and if the employee is absent today, there is a 75% chance that they will be at work to- morrow (and a 25% chance that they will be absent tomorrow). Draw the associated transition diagram. Assuming the number of exmployees stays consistent at 1800, in the long term, how many employees do we expect to be at work each day? How many do we expect to stay home?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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6. At a certain company, on any given day some employees are at work and the rest are absent. It is known that if an employee is at work to- day, there is a 80% chance that they will be at work tomorrow (and a 20% chance that they will be absent tomorrow), and if the employee is absent today, there is a 75% chance that they will be at work to- morrow (and a 25% chance that they will be absent tomorrow). Draw the associated transition diagram. Assuming the number of exmployees stays consistent at 1800, in the long term, how many employees do we expect to be at work each day? How many do we expect to stay home?
Transcribed Image Text:6. At a certain company, on any given day some employees are at work and the rest are absent. It is known that if an employee is at work to- day, there is a 80% chance that they will be at work tomorrow (and a 20% chance that they will be absent tomorrow), and if the employee is absent today, there is a 75% chance that they will be at work to- morrow (and a 25% chance that they will be absent tomorrow). Draw the associated transition diagram. Assuming the number of exmployees stays consistent at 1800, in the long term, how many employees do we expect to be at work each day? How many do we expect to stay home?
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