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A mathematical definition of a standard normal distribution is given in the related link. A standard normal distribution is a normal distribution with a mean of 0 and a variance of 1.

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Q: Carefully define a standard normal distribution?
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How does standard normal distribution differ from normal distribution?

The standard normal distribution has a mean of 0 and a standard deviation of 1.


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.


Which normal distribution is also the standard normal curve?

The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.


What is the standard deviation of a standard normal distribution?

The standard deviation in a standard normal distribution is 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.


In the standard normal distribution the standard deviation is always what?

The standard deviation in a standard normal distribution is 1.


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.


Is the standard normal distribution is continuous?

Yes, the normal distribution, standard or not is always continuous.


The mean of a standard normal distribution is?

The mean of a standard normal distribution is 0.


When can you say the distribution is considered normal?

When its probability distribution the standard normal distribution.


What is standard normal distribution of 0.62?

The standard normal distribution has mean 0 and variance 1. It is not clear what 0.62 has to do with the distribution.


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.