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A normal distribution is symmetric and when looked at on a graph, the graph looks like a bell shaped curve. Approximately 95 percent of its values should lie within two standard deviations of the mean. Frequency of the data lies mostly in the middle of the curve.

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Q: Describe the properties of a normal distribution?
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In your own words describe the standard normal distribution?

The standard normal distribution is a special case normal distribution, which has a mean of zero and a standard deviation of one.


What properties distinguishes standard normal distribution from other normal distribution?

The normal distribution can have any real number as mean and any positive number as variance. The mean of the standard normal distribution is 0 and its variance is 1.


What is the perfect standard normal distribution?

The standard normal distribution is a subset of a normal distribution. It has the properties of mean equal to zero and a standard deviation equal to one. There is only one standard normal distribution and no others so it could be considered the "perfect" one.


How normal distribution is better?

Normal distribution is not "better." It is, perhaps, simpler to work with. All introductory text books and courses on statistics cover it in great detail, its properties are well-known, and there are lots of tables you can refer to. But if the real-world situation you are trying to model does not resemble a normal distribution, then it is very bad to try to use the properties of a normal distribution or to try to force a normal distribution on your data. Doing so will give you inaccurate answers.


Are these true of normal probability distribution IIt is symmetric about the mean TTotal area under the normal distribution curve is equal to 1 DDistribution is totally described by two quantities?

Yes, it is true; and the 2 quantities that describe a normal distribution are mean and standard deviation.


State the properties of position distribution?

Properties of possion distribution


What is the difference between a normal distribution and the standard normal distribution?

The standard normal distribution is a normal distribution with mean 0 and variance 1.


What is the difference of a normal distribution and a stardard normal distribution?

The standard normal distribution is a special case of the normal distribution. The standard normal has mean 0 and variance 1.


Is continuous distribution normal distribution?

le standard normal distribution is a normal distribution who has mean 0 and variance 1


What is normal distribution?

It is a symmetric bell-shaped distribution which can be used to represent a very large number things from every-day life. It has some very useful statistical properties.


When can you say the distribution is considered normal?

When its probability distribution the standard normal distribution.


Properties of Chi-square distribution?

It is a continuous distribution. Its domain is the positive real numbers. It is a member of the exponential family of distributions. It is characterised by one parameter. It has additive properties in terms of the defining parameter. Finally, although this is a property of the standard normal distribution, not the chi-square, it explains the importance of the chi-square distribution in hypothesis testing: If Z1, Z2, ..., Zn are n independent standard Normal variables, then the sum of their squares has a chi-square distribution with n degrees of freedom.