Answered: In recent years home lighting…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In recent years home lighting technology has changed dramatically due to the development of Light Emitting Diode (LED ) bulbs. Although previously used mainly in traffic lights and although LED bulbs are more expensive than incandescent bulbs, they use approximately 90% less energy and they last up to 25 times longer than incandescent bulbs. It has been estimated that the average home saves $250 per year using LED bulbs rather than incandescent bulbs. One popular manufacturer of LED bulbs claim that nearly all of their 75-watt LEDs will last for more than 25,000 hours.

- Suppose that a small company purchases 200 of these 75-watt LEDs with a guarantee that 95% of them will last for more than 25,000 hours. Assuming the guarantee is correct, what is the probability that at least 190 of them will last for more than 25,000 hours?

-Suppose that a small company purchases 400 of these 75-watt LEDs with a guarantee that 99% of them will last for more than 25,000 hours. Assuming the guarantee is correct, what is the expected number of them that will last for more than 25,000 hours?

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