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Re: The Darn Old Cocked Hat - the sequel 1
From: Geoffrey Kolbe
Date: 2013 Mar 14, 07:44 +0000
From: Geoffrey Kolbe
Date: 2013 Mar 14, 07:44 +0000
At 06:39 14/03/2013, you wrote:
The problem is that Hanno's plots show probability as a function of radius, not probability density as a function of radius. The former is essentially the latter multiplied by the radius, (2*pi*r*dr) which is why there is a hole in the centre of Hanno's graphics. When r = 0, the area is zero and the probability is zero. But this does not mean the probability density is zero.... and that is what John Karl was plotting on his graphics.
Geoffrey Kolbe
I don't see how you get the hole in the center of your graphic. Look at the table of probabilities versus standard deviation.
The problem is that Hanno's plots show probability as a function of radius, not probability density as a function of radius. The former is essentially the latter multiplied by the radius, (2*pi*r*dr) which is why there is a hole in the centre of Hanno's graphics. When r = 0, the area is zero and the probability is zero. But this does not mean the probability density is zero.... and that is what John Karl was plotting on his graphics.
Geoffrey Kolbe
