The integral of the density with respect to the variable against which the density is plotted, between the values at the ends of the curve.
Since there is no information given as to what the density is plotted against, a more informative answer is impossible.
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Because the area under the curve is a probability and probabilities range from 0.00 to 1.00 or could also be written as 0% to 100%
It is a symmetric function which is fully described by two parameters. It is called bell shape but I have never seen a bell whose rime is infinitely far away from its apex. The area under the curve is equal to 1.
Characteristics of a Normal Distribution1) Continuous Random Variable.2) Mound or Bell-shaped curve.3) The normal curve extends indefinitely in both directions, approaching, but never touching, the horizontal axis as it does so.4) Unimodal5) Mean = Median = Mode6) Symmetrical with respect to the meanThat is, 50% of the area (data) under the curve lies to the left ofthe mean and 50% of the area (data) under the curve liesto the right of the mean.7) (a) 68% of the area (data) under the curve is within onestandard deviation of the mean(b) 95% of the area (data) under the curve is within twostandard deviations of the mean(c) 99.7% of the area (data) under the curve is within threestandard deviations of the mean8) The total area under the normal curve is equal to 1.
It is any shape that you want, provided that the total area under the curve is 1.
The z score for the mean is always 0.