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The area under a normal distribution is one since, by definition, the sum of any series of probabilities is one and, therefore, the integral (or area under the curve) of any probability distribution from negative infinity to infinity is one. However, if you take an interval of a normal distribution, its area can be anywhere between 0 and 1.

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Q: How do you find the area of a normal distribution?
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Related questions

Find the area under the normal distribution curve between z equals 1.23 and z equals 1.90?

Look in any standard normal distribution table; one is given in the related link. Find the area for 2.43 and 1.52; then take the area for 2.43 and subtract the area for 1.52 and that will be the answer. Therefore, .9925 - .9357 = .0568 = area under the normal distribution curve between z equals 1.52 and z equals 2.43.


Why does a researcher want to go from a normal distribution to a standard normal distribution?

A researcher wants to go from a normal distribution to a standard normal distribution because the latter allows him/her to make the correspondence between the area and the probability. Though events in the real world rarely follow a standard normal distribution, z-scores are convenient calculations of area that can be used with any/all normal distributions. Meaning: once a researcher has translated raw data into a standard normal distribution (z-score), he/she can then find its associated probability.


The total area under a normal distribution is infinite?

The total area under a normal distribution is not infinite. The total area under a normal distribution is a continuous value between any 2 given values. The function of a normal distribution is actually defined such that it must have a fixed value. For the "standard normal distribution" where μ=0 and σ=1, the area under the curve is equal to 1.


The total area of a normal probability distribution is?

The total area of any probability distribution is 1


An area of a normal probability distribution represents?

The number 1. The area of any probability distribution equals 1.


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 the area under the standard normal distribution called?

One.


If the area to the left of x in a normal distribution is 0.161 what is the area to the right of x?

It is 0.839


In a perfectly symmetrical bell-shaped normal distribution?

Normal distribution is a perfectly symmetrical bell-shaped normal distribution. The bell curve is used to find the median, mean and mode of a function.


Find the area under a normal distribution curve that lies within one standard deviation of the mean is approximattely?

The area under N(0,1) from -1 to 1 = 0.6826


What is the standard normal distribution for the area to the left of z-1.35?

0.088508


What is the probability associated with the area to the right of the mean in a normal distribution?

50%