# [racket] a small programming exercise

>* -----Original Message-----
*>* From: users-bounces at racket-lang.org
*>* [mailto:users-bounces at racket-lang.org] On Behalf Of Chris Stephenson
*>* Sent: 15 October 2010 11:13
*>* To: users at racket-lang.org
*>* Subject: Re: [racket] a small programming exercise
*>*
*snip
>*
*>* Think about the decimal numbers in the range 1-200. How many
*>* start with
*>* 1?- More than half. The range 1-1000 is an exception. But
*
The exceptions are flat distributions of natural numbers in a range from 1
to a power of the base, right?
For example:
(test 1000000 (expt 5 5) 5) -> (250490 249654 249630 250226)
distribution of 1000000 natural numbers in the range 1 to (expt 5 5) and
base 5.
1000000/4=250000
>* natural distributions are not uniform over a fixed range.
*>* They are bell curves of one sort or another. If you have a
*>* natural random distribution there will always be a skew
*>* toward the smaller digits. It is quantified as Benford's law.
*>*
*>* --
*>* Chris Stephenson
*>* cs at cs.bilgi.edu.tr
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