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The probability density of the standardized normal distribution is described in the related link. It is the same as a normal distribution, but substituted into the equation is mean = 0 and sigma = 1 which simplifies the formula.

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Q: The probability density of the standardized normal distribution is?
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Related questions

What is Normal of probability distribution?

with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.


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.


Distinguish between binomial distribution and normal distribution?

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A bell shaped probability distribution curve is NOT necessarily a normal distribution.


Why normal distribution is called normal distribution?

Most random variables are found to follow the probability distribution function All this means is that most things which can be measured quantitatively, like a population's height, the accuracy of a machine, effectiveness of a drug on fighting bacteria, etc. will occur with a probability that can be calculated according to this equation. Since most things follow this equation, this equation is considered to be the "normal" probability density. "Normal" events follow a "normal" probability distribution.


When can you say the distribution is considered normal?

When its probability distribution the standard normal distribution.


Define a normal random variable?

I have included two links. A normal random variable is a random variable whose associated probability distribution is the normal probability distribution. By definition, a random variable has to have an associated distribution. The normal distribution (probability density function) is defined by a mathematical formula with a mean and standard deviation as parameters. The normal distribution is ofter called a bell-shaped curve, because of its symmetrical shape. It is not the only symmetrical distribution. The two links should provide more information beyond this simple definition.


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No, the normal distribution is strictly unimodal.


Given a standardized normal distribution with a mean of 0 and a deviation of 1 what is the probability that Z is less than 1.51?

From the related link, you can read directly the probability that Z is less than 1.51 is 0.9345.


The total area of a normal probability distribution is?

The total area of any probability distribution is 1


What are the characteristics a standard normal probability distribution?

I apologize my question should have read what are the characteristics of a standard normal probability distribution? Thank you