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How do I work backwards to find a probability curve?

Asked by PhiNotPi (12681points) March 24th, 2011

For simplicity, let’s say there is a particle that can be anywhere on a line. The probability of the particle being at a given point on the line is given by a probability curve, which is more or less bell shaped. The particle’s position is observed however many times, and it’s position is recorded. Now here is the problem: Given the points, how can we find the approximate probability curve that generated them?

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