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Describe the Properties of a Normal Distribution

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Describe the properties of a normal distribution. Explain why there are an infinite number of normal distributions. Why do we want to assume that our sample data represent a population distribution?

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The normal distribution is the most widely observed probability distribution in real life examples. It is a bell shaped curve, and is described by two parameters, the mean and the standard deviation. The normal distribution is called the standard normal distribution, indicated by N(0, 1), if its mean is zero and the standard deviation is unity. However, the two parameters can take any values, and this is the reason ...

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250+ words on the properties of normal distributions, including why there are an infinite number of them.