My home uses two light bulbs. On average, a light bulblasts for 22 days (exponentially distributed). When a lightbulb burns out, it takes an average of 2 days (exponentiallydistributed) before I replace the bulb.a Formulate a three-state birth–death model of thissituation.b Determine the fraction of the time that both lightbulbs are working.c Determine the fraction of the time that no light bulbsare working.
My home uses two light bulbs. On average, a light bulblasts for 22 days (exponentially distributed). When a lightbulb burns out, it takes an average of 2 days (exponentiallydistributed) before I replace the bulb.a Formulate a three-state birth–death model of thissituation.b Determine the fraction of the time that both lightbulbs are working.c Determine the fraction of the time that no light bulbsare working.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
My home uses two light bulbs. On average, a light bulb
lasts for 22 days (exponentially distributed). When a light
bulb burns out, it takes an average of 2 days (exponentially
distributed) before I replace the bulb.
a Formulate a three-state birth–death model of this
situation.
b Determine the fraction of the time that both light
bulbs are working.
c Determine the fraction of the time that no light bulbs
are working.
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