Does http://www.jsoftware.com/jwiki/Essays/Birthday%20Problem answer any of
your questions?
On Tue, Jan 17, 2012 at 9:40 PM, Linda Alvord <lindaalv...@verizon.net>wrote:
> Capture the last row of c
>
> ]l=:{:c
> 106 249 7 326 308 274 81 347 276 113 108 20...
>
> And use grade up to arrange the numbers in sequence
>
> (/:l){l
> 0 1 3 3 4 4 5 5 6 6 7 7 7 7 8 8 8 13 13...
>
> This should be i.365
>
> I have an idea on how to get what you want but I'll wait to see what you do
> next.
> I have to use a deal without a fixed seed for the deal.
>
> I happened to remember 24 and haven't gone looking for the number and
> haven't the foggiest notion of how I proved it!
>
> Linda
>
> -----Original Message-----
> From: Linda Alvord [mailto:lindaalv...@verizon.net]
> Sent: Tuesday, January 17, 2012 11:25 PM
> To: 'Programming forum'
> Subject: RE: [Jprogramming] Challenge 4 Bountiful Birthdays
>
> I think we need sortleaf.
>
> Linda
>
> -----Original Message-----
> From: programming-boun...@jsoftware.com
> [mailto:programming-boun...@jsoftware.com] On Behalf Of Brian Schott
> Sent: Tuesday, January 17, 2012 10:14 PM
> To: Programming forum
> Subject: Re: [Jprogramming] Challenge 4 Bountiful Birthdays
>
> $c=.500 365?.@$365
> $D=. i.&0"1(=&#~.)\"1 c
> mean D+1 NB. 25.086
> pretty 5 SL sortleaf 1+D
>
> $c=. 10 500 365?.@$365
> $D=. i.&0"1(=&#~.)\"1 c
> mean, D+1. NB. 24.6856
> pretty"2] 5 SL"0 1 sortleaf"1] 1+D
>
> I am suspicious of these results because my memory is that the mean is
> closer to 18.5 people. Then again, other measures of the center look closer
> to 19, just looking at the stemplots.
>
> ---
> (B=)
>
> On Jan 15, 2012, at 5:40 AM, "Linda Alvord" <lindaalv...@verizon.net>
> wrote:
>
> >
> > For this challenge, as usual, do not use @ but you may use whatever
> style
> > and strategy you like to accomplish the task.
> >
> >
> >
> > The problem is to simulate the classic birthday problem.
> >
> >
> >
> > A single trial works this way. People enter a room one by one and
> declare
> > their birth date. Suppose the 29th person is the first person to match a
> > birthday of someone in the room. The result of the first trial is 29.
> >
> >
> >
> > Repeat for 500 trials.
> >
> >
> >
> > If you use Kip's frequency distribution of the results you have lots of
> > information.
> >
> >
> >
> > fd=:[: /:~ ~. ,. [: +/"1 ~. =/ ]
> >
> >
> >
> > But the mean gives a more concise summary of the data. So, the final
> part
> > of the problem is to obtain a list of 10 means of 500 trials and the
> > mean of the means.
>
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