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?
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?
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