Normal dispersions have many applications, and ar utilize in a wide variety of fields. In business, a manufacturer may use normal distributions to collapse an accept satisfactory failure rate for his product. For example, a light bulb manufacturer may claim that his light bulbs have a mean life of 800 hours with a standard deviation of 40 hours. A customer may find that 50 bulbs had a mean life of 790 hours and claims that the manufacturer is misstating the reliability of the bulbs. Using a normal distribution and calculating the standard deviation, the probability that the manufacturer's claims atomic number 18 accurate (or not) can be established.
Combining the normal distribution with principles of probability is one of the most common uses of the normal distribution. This lend oneself has gained particular popularity with political pollsters who use the normal distribution and principles of take in to determine how voters will vote and who will win an choice based on early returns.
The reason that statisticians are able to apply probability theory to normal distributions is because of the peculiar record of the normal curve. All normal distributions have the same boilersuit shape: they are bell-shaped with a single lead and symmetric. The exact density curve for a given distribution is described b
Finishing the equipoise of the calculation, 78 / 10 = 7.8, and the standard deviation is equal to the agora root of 7.8, or 2.79. It should be noted that this data is used to provide an parable of how the standard deviation is calculated, not an illustration of a normal distribution curve.
Downing, Douglas. Statistics the Easy Way. New York: Barron's educational Series, Inc., 1989.
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