# the area under a normal curve is

To find the area under a normal curve with mean Î¼ and standard distribution Ï: Then select 4:Normal Cdf . How to find the area under a curve (between 0 and any z-score). Normal distribution calculator Enter mean (average), standard deviation, cutoff points, and this normal distribution calculator will calculate the area (=probability) under the normal distribution curve. One can think of the area under a normal "curve" as equaling 100% or 1.0, depending on whether one wants to talk about a percent of an area under the curve or a proportion of the area under the curve. II TABLE 1 Normal Curve Areas The entries in the body of the table correspond to the area shaded under the normal curve. The area under the normal curve is equal to the total of all the possible probabilities of a random variable that is 1. The table can be used to find a z value given and area, or and area given a z value. The area under the normal curve to the left of z = 1.53 would be graphically represented like this: The vertical line dividing the black shaded region from the white un-shaded region is z = 1.53. One. For example, a table value of .6700 is are area of 67%. Areas under the curve can also be interpreted as probabilities. Then press ENTER . TABLE 1 Standard Normal Curve Areas z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 Abraham de Moivre originally discovered this type of integral in 1733, while Gauss published the precise integral in 1809. The probability of a continuous normal variable X found in a particular interval [a, b] is the area under the curve bounded by `x = a` and `x = b` and is given by `P(a