In statistics you can find the area under a curve to establish what to expect between two input numbers. If there is a lot of area under the curve the graph is tall and there is a higher probability of things occurring there than when the graph is low.
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The area under the normal curve is ALWAYS 1.
The are under the curve on the domain (a,b) is equal to the integral of the function at b minus the integral of the function at a
It is 0.
The area is 0.008894
Is the integral of the curve - between the two end points.