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Normal distribution is finite

Updated: 4/28/2022
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The domain is infinite but the range is finite.

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Q: Normal distribution is finite
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Is total area under a normal distribution finite?

Yes, and is equal to 1. This is true for normal distribution using any mean and variance.


What is an important difference between the uniform and normal probability distributions?

The uniform distribution is limited to a finite domain, the normal is not.


Comparision between binomial plus normal plus hypergeometric distribution?

The binomial distribution is a discrete probability distribution which describes the number of successes in a sequence of draws from a finite population, with replacement. The hypergeometric distribution is similar except that it deals with draws without replacement. For sufficiently large populations the Normal distribution is a good approximation for both.


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.


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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


When can you say the distribution is considered normal?

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What is importance of central limit theorem?

The importance is that the sum of a large number of independent random variables is always approximately normally distributed as long as each random variable has the same distribution and that distribution has a finite mean and variance. The point is that it DOES NOT matter what the particular distribution is. So whatever distribution you start with, you always end up with normal.


Does a normal probability distribution include a bimodal distribution?

No, the normal distribution is strictly unimodal.


Is the normal distribution infinite?

The domain of the normal distribution is infinite.


Is normal distribution also a probability distribution?

Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.


What is symmetrical normal distribution?

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