As a mechanical engineer working for an automobile manufacturer, you conduct a survey and collect the following data in order to study the performance of an engine that was designed many years ago. Plot the data and calculate the mean and standard deviation. Kilometers Driven before a Need for an Frequency Engine Maintenance 70,000 12 80,000 17 90,000 22 100,000 33 110,000 42 120,000 30 130,000 24 140,000 15 150,000 11
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!
For Problem 19.27 , determine the
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