My home uses two light bulbs. On average, a light bulb lasts for 100 days(exponentially distributed). When a light bulb burns out, it takes an average of 10 days (exponentiallydistributed) before I replace the bulb.• Formulate a three-state birth-death model of this situation.• Determine the fraction of the time that both light bulbs are working.• Determine the fraction of the time that no light bulbs are working.

Possible states are 0, 1, and 2. Birth = a bulb is repaired while Death = bulb burns out. Then the…

Answered: My home uses two light bulbs. On…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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a plant has a 200 horsepower that works cpnsstatnly for 3000 hours per year. it is using a drive motor with an efficiency of 84.3%. The motor has reached its life span, and needs to be changed. A new one will cost $1,100. A motor with an efficiency of 86.3% will cost $13,000 and the installation of the motor will be $1,200. Both motors will last for 20 years but then would need a new one Find the annual savings when it comes to replacing the old compressor with the more efficient compressor.
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Burping (also known as "belching" or "eructation") is one way the human body expels excess gas in your digestive system. It occurs when your stomach fills with air, which can be caused by swallowing food and liquids. Drinking carbonated beverages, such as soda, is known to increase burping because its bubbles have tiny amounts of carbon dioxide in them. As an avid soda drinker and statistics student, you notice you tend to burp more after drinking root beer than you do after drinking cola. You decide to determine whether there is a difference between the number of burps while drinking a root beer and while drinking a cola. To determine this, you select 20 students at random from high school, have each drink both types of beverages, and record the number of burps. You randomize which beverage each participant drinks first by flipping a coin. Both beverages contain 12 fluid ounces. Here are the results: Participant 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Root beer 6 8 7 7…

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