The light bulbs used in a classroom have an average lifetime of 11,000 hours. Assume the length of life is approx. normally distributed with standard deviation of 2,000 hours. The company has a guarantees their light bulb will last at least 7,500 hours or they will replace it for free. At most what percent of light bulb can the company expect to replace under this warranty? [Please write you answer as a whole percentage]
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The light bulbs used in a classroom have an average lifetime of 11,000 hours. Assume the length of life is approx.
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