🚀 go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: fj.sci.math
Article #14210

Re: probability question (EASY!)

#14210
From: Yoshinori TANABE
Date: Mon, 22 Feb 1993 12:22
35 lines
2358 bytes
$@EDJU(J%$@IY;NDL@n:j9)>l(J@$@;d$b(J$@?t3X2J$/$:$l(J $@$G$9!%(J

Message-ID: <TANUMA.93Feb19025303@mathc.math.titech.ac.jp>$@$G(J
  $@ED>B(J( tanuma@mathc.math.titech.ac.jp )$@$5$s(J:

$@ED>B(J> $@$^$?!"#2HV$N6K8BCM$rD>46E*$KM=A[$9$k$N$O$+$J$j:$Fq$@$H;W$o$l$k$N$G!"(J

$@$*8@MU$rJV$9$h$&$G$9$,!$2HFb$K$3$NLdBj$rOC$7$?$H$3$mD>$A$K(J
	$@0l2s$K?J$a$k%^%9L\$NJ?6Q$,(J3.5$@$@$+$i!$(J
	1/3.5 = 2/7 $@$8$c$J$$!)(J
$@$H8@$o$l$^$7$?$,!%(J

$@$5$F!$$3$l$@$1$8$c$J$s$G$9$N$G$A$c$s$H5a$a$kJ}K!$b=q$$$F$_(J$@$^(J
$@$9!%(J

Message-ID: <TAKEMURA.93Feb22092140@aji.tamaru.kuee.kyoto-u.ac.jp>$@$G(J
  $@C]B<(J( takemura@tamaru.kuee.kyoto-u.ac.jp )$@$5$s(J:

$@C]B<(J>     p(n)=p(n-1)/6 + p(n-2)/6 + p(n-3)/6
$@C]B<(J>           + p(n-4)/6 + p(n-5)/6 + p(n-6)/6

$@$h$j!$(Jp(n-6)+2p(n-5)+3p(n-4)+4p(n-3)+5p(n-2)+6p(n-1) $@$O(Jn$@$K$h$i$J$$(J
$@Dj?t$G$"$k$3(J$@$H$,H=$j$^$9!%$3$NDj?t$N(J1/21 ( = 1/(1+2+3+4+5+6) )$@$r(J
k$@$HCV$/$H!$(J
  p(n)-k = 1/42 * { 5p(n-6)+3p(n-5)+p(n-4)-p(n-3)-3p(n-2)-5p(n-1) }       
         = 1/42 * { 5*(p(n-6)-k) + 3*(p(n-5)-k) + 1*(p(n-4)-k)
                      - 1*(p(n-3)-k) - 3*(p(n-2)-k) - 5*(p(n-1)-k) }
$@$G$9!%$D$^$j!$(J
  | p(n)-k | <= (5+3+1+1+3+5)/42 * max{ |p(n-i)-k| : i=1,..,6}
$@$H$J$j!$(Jp(n)$@$O(Jk$@$K<}B+$7$^$9!%$3$NLdBj$N>l9g$O!$(J
	k = (p(-5)+2*p(-4)+3*p(-3)+4*p(-2)+5*p(-1)+6*p(0))/21 = 2/7
$@$G$7$?!%(J
--
                      |        $@EDJU(J $@NIB'(J $@!w(J $@IY;NDL(J $@@n:j9)>l(J
                      |  E-mail: tanabe@ai.cs.fujitsu.co.jp
Technical Details
Message-ID: <TANABE.93Feb22212215@Polaris.ai.cs.Fujitsu.Co.JP>
Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!sun-barr!sh.wide!fgw!fdm!csnews!virgo!tanabe
References: <TANUMA.93Feb19025303@mathc.math.titech.ac.jp> <TAKEMURA.93Feb22092140@aji.tamaru.kuee.kyoto-u.ac.jp>

Show Full Headers
Complete Article Headers
X-Google-Language: Japanese,JIS
X-Google-Thread: f4956,fc23536e46178b6f
X-Google-Attributes: gidf4956,public
X-Google-ArrivalTime: 1993-02-22 04:22:15 PST
Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!sun-barr!sh.wide!fgw!fdm!csnews!virgo!tanabe
From: tanabe@ai.cs.Fujitsu.Co.JP (Yoshinori TANABE)
Newsgroups: fj.sci.math
Subject: Re: probability question (EASY!)
Message-ID: <TANABE.93Feb22212215@Polaris.ai.cs.Fujitsu.Co.JP>
Date: 22 Feb 93 12:22:15 GMT
References: <TANUMA.93Feb19025303@mathc.math.titech.ac.jp>
 <TAKEMURA.93Feb22092140@aji.tamaru.kuee.kyoto-u.ac.jp>
Sender: news@ai.cs.fujitsu.co.jp
Distribution: fj
Organization: Fujitsu Ltd., Kawasaki Japan
Lines: 35
In-reply-to: tanuma@mathc.math.titech.ac.jp's message of 19 Feb 93 02:53:03 JST