Normal distribution problem: The number of hours before a battery must be replaced in Wellbuilt watches is normally distributed with a mean of 1,900 hours and a standard deviation of 145 hours. What proportion of watch batteries fail before 1,600 hours? Suppose that during the next six months, more than 50% fail before 1,600 hours. From a problem-sensing perspective, what might you conclude? Explain. Mean: 1900. SD: 145 Q: If I were to use Excel to calculate, which formula do I use? Thank you so much for your help!
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!
Normal distribution problem: The number of hours before a battery must be replaced in Wellbuilt watches is
Mean: 1900. SD: 145
Q: If I were to use Excel to calculate, which formula do I use?
Thank you so much for your help!
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