A normal distribution is a fundamental tool in statistics which ends up being applied to nearly all elds where mathematics is used. The equation for the "probability density function" is a function that tells how the probability is distributed for di erent values of x. Areas under the normal distribution give the probabilities of landing at x value in the width of the region given, and so the area underneath the entire function (from 1 to 1) is 1. The equation for a particular normal distribution is N(x) = r 2 e(x2)2 Find the center of mass on the x-axis of the region de ned as the region bounded by x = a, x = b, N(x), and the x-axis if you know that the regions area is A. (This should be in terms of a, b, and A)