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Topic: Random Triangle Problem
Replies: 57   Last Post: Aug 17, 1997 10:51 PM

 Messages: [ Previous | Next ]
 Terry Moore Posts: 538 Registered: 12/8/04
Re: Random Triangle Problem
Posted: Aug 6, 1997 6:39 PM

In article <5rphfl\$l70@newton.cc.rl.ac.uk>, tony richards
<tony.richards@rl.ac.uk> wrote:

> I make that a fraction 0.834 (or 0.849 for the earlier run) for obtuseness.

I got 0.833 from 10 million trials (if I remember the last
digit correctly), so you are correct.

> SO where is the 0.75 answer everyone else expects?

Who says everyone expects 0.75. The answer 0.75
is specific to certain distributions only. Surprisingly,
but that's no reason to believe that the Cauchy will
has a long tail. It is therefore not unlikley that two
vertices will be moderately far into the tails while
one is near the middle, and this is more likely to give
an obtuse angle at the more central point.

> Don't tell B.Taylor - he'll just call you a wally or
> worse.

No, he'll call someone who expects the answer to
be 0.75 a wally, and quite rightly IMO.

--

Terry Moore, Statistics Department, Massey University, New Zealand.

Theorems! I need theorems. Give me the theorems and I shall find the
proofs easily enough. Bernard Riemann

Date Subject Author
7/16/97 Mike Housky
7/21/97 Bill Taylor
7/22/97 tony richards
7/24/97 Brian M. Scott
7/23/97 tony richards
7/23/97 T. Sheridan
7/24/97 Bill Taylor
7/24/97 Bill Taylor
7/25/97 Ilias Kastanas
7/23/97 Robert Hill
7/23/97 tony richards
7/27/97 Bill Taylor
7/24/97 Robert Hill
7/28/97 tony richards
7/30/97 Bill Taylor
7/30/97 tony richards
8/1/97 Bill Taylor
7/24/97 Robert Hill
7/24/97 Robert Hill
7/24/97 Robert Hill
7/25/97 Robert Hill
7/30/97 Bill Taylor
8/1/97 Charles H. Giffen
8/1/97 John Rickard
8/1/97 Chris Thompson
8/1/97 John Rickard
8/4/97 Bill Taylor
8/5/97 John Rickard
7/25/97 Charles H. Giffen
7/25/97 Charles H. Giffen
7/28/97 Hauke Reddmann
7/28/97 Robert Hill
7/28/97 Robert Hill
7/28/97 Robert Hill
7/29/97 tony richards
7/30/97 Keith Ramsay
7/30/97 tony richards
8/2/97 Keith Ramsay
7/29/97 tony richards
8/4/97 Bill Taylor
8/5/97 Charles H. Giffen
8/6/97 Terry Moore
8/7/97 Terry Moore
8/16/97 Kevin Brown
8/17/97 Kevin Brown
7/30/97 Robert Hill
7/31/97 tony richards
8/6/97 Terry Moore
7/31/97 John Rickard
7/30/97 Robert Hill
7/31/97 Robert Hill
7/31/97 Robert Hill
8/1/97 R J Morris
8/4/97 Robert Hill
8/4/97 Robert Hill
8/5/97 Charles H. Giffen
8/6/97 Robert Hill