Re: Expected value

From: "Stephen J. Herschkorn" <sjherschko@xxxxxxxxxxxx>
Date: Tue, 10 Jan 2006 14:33:59 -0500

PARASHAR wrote:

A string of unit length is cut into n random strings.
(1)What is the expected value of the shortest string (2)What is the expected value of the longest string

Some things you might consider; these may or may not help. - The expected value of a nonnegative random variable is the intergral of its tail. - The joint distribution of the lengths is Dirchlet. - Try a recursive method by conditioning, either on the first cut point chosen or the smallest cut point chosen.

--
Stephen J. Herschkorn                        sjherschko@xxxxxxxxxxxx
Math Tutor on the Internet and in Central New Jersey and Manhattan

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