{VERSION 5 0 "IBM INTEL NT" "5.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 
0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 
2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Warning" -1 7 1 
{CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 
0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 
-1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 
0 1 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" -1 13 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 
0 1 0 1 0 2 2 0 1 }}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "\"Q4\":" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "f:=(x+y)*exp(-x-y)/2:" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 38 "Let's verify the normalizing constant:" }
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "int(int
(f,x=0..infinity),y=0..infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
\"\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 47 "And get a better pictur
e of its shape and form:" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 36 "plot3d(f,x=0..3,y=0..3,axes=NORMAL);" }}{PARA 13 "
" 1 "" {GLPLOT3D 400 300 300 {PLOTDATA 3 "6%-%%GRIDG6%;$\"\"!F($\"\"$F
(F&X,%)anythingG6\"6\"[gl'!%\"!!#\\bm\":\":00000000000000003FAC3D6A24E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-%*AXESSTYLEG6#%'NORMALG-%+AXESLABELS
G6%%\"xG%\"yGQ!F." 1 2 0 1 10 0 2 1 1 4 2 1.000000 45.000000 
-43.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 
"with(plots):" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name change
coords has been redefined\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 42 "Th
is helps us visualize the X+Y<u  region:" }{MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "inequal(\{x>0,y>0,x+y<1.6\},
x=0..2,y=0..2,scaling=CONSTRAINED);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 
300 300 {PLOTDATA 2 "6'-%)POLYGONSG6&7$7$$\"\"!F)F(7$F($\"\"#F)7'7$F($
\"0++++++g\"!#9F*7$F+F+7$F+F(7$F/F(7$F'F3-%&COLORG6&%$RGBG$\"#?!\"#F:F
:-F$6$7'F'F*F2F3F'-F76&F9$\"#qF<FB$\"#5!\"\"-%'CURVESG6&F&7$F.F47$F3F'
-%*LINESTYLEG6#F,-%(SCALINGG6#%,CONSTRAINEDG-%&STYLEG6#%,PATCHNOGRIDG
" 1 3 0 1 10 0 2 9 1 4 1 1.000000 45.000000 45.000000 0 0 "Curve 1" "C
urve 2" "Curve 3" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 40 "The actual s
olution takes only one line:" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 32 "FU:=int(int(f,x=0..u-y),y=0..u);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%#FUG,**&-%$expG6#,$%\"uG!\"\"\"\"\")F+\"\"#F-#
F,F/*&F'F-F+F-F,F'F,F-F-" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 30 "Does \+
not hurt checking it out:" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 17 "plot(FU,u=0..10);" }}{PARA 13 "" 1 "" {GLPLOT2D 
400 300 300 {PLOTDATA 2 "6%-%'CURVESG6$7U7$$\"\"!F)F(7$$\"3emmm;arz@!#
=$\"33EyA(fRqY\"!#?7$$\"3v***\\7y%*z7$F-$\"3<1..gYxTSF07$$\"3[LL$e9ui2
%F-$\"3?fw&[))4;M)F07$$\"3z***\\(oMrU^F-$\"3!)z#40m(G\\:!#>7$$\"3nmmm
\"z_\"4iF-$\"3w!*)Hp*>=BDF@7$$\"39ommT&phN)F-$\"3i%pN'*ehzE&F@7$$\"3KL
Le*=)H\\5!#<$\"3UnkKl\"4*e*)F@7$$\"3smm\"z/3uC\"FN$\"3f+/_Zi_48F-7$$\"
3!****\\7LRDX\"FN$\"3%[;]kesLz\"F-7$$\"3%om;zR'ok;FN$\"3[*3mHC^[L#F-7$
$\"33++D1J:w=FN$\"3/z_\"fYg%)*GF-7$$\"3oLLL3En$4#FN$\"3ER.4i*)f'[$F-7$
$\"3#pmmT!RE&G#FN$\"3m-a5No\\+SF-7$$\"3D+++D.&4]#FN$\"3![ks9M1Vc%F-7$$
\"3;+++vB_<FFN$\"3;4&pzm!e1^F-7$$\"33+++v'Hi#HFN$\"3k'o_(G$33g&F-7$$\"
3&om;z*ev:JFN$\"3g+s:9&yB-'F-7$$\"3_LLL347TLFN$\"3WfTD*\\[w['F-7$$\"3n
LLLLY.KNFN$\"3Ca>TLCP]oF-7$$\"33++D\"o7Tv$FN$\"3\"Hp\\kt4hB(F-7$$\"3?L
LL$Q*o]RFN$\"3cCu[\">?ea(F-7$$\"3m++D\"=lj;%FN$\"3wL&R?;TF&yF-7$$\"3S+
+vV&R<P%FN$\"3(eXZZPJZ6)F-7$$\"3CML$e9Ege%FN$\"3a5nP1Kpe$)F-7$$\"3]LLe
R\"3Gy%FN$\"37X*>j%oAe&)F-7$$\"3emm;/T1&*\\FN$\"37vt)*=kJ\\()F-7$$\"3=
nm\"zRQb@&FN$\"3cJ(R5QnO#*)F-7$$\"3:++v=>Y2aFN$\"3)\\uWTfBt0*F-7$$\"3Z
nm;zXu9cFN$\"3=V$H.$[i%=*F-7$$\"34+++]y))GeFN$\"3i)eR$3QY*H*F-7$$\"3H+
+]i_QQgFN$\"3!eh+%35A(R*F-7$$\"3b++D\"y%3TiFN$\"3))Gs&RjG'z%*F-7$$\"3+
++]P![hY'FN$\"3S\"*['*>Awe&*F-7$$\"3iKLL$Qx$omFN$\"3z^b56u5?'*F-7$$\"3
Y+++v.I%)oFN$\"3i/U3qTpw'*F-7$$\"3?mm\"zpe*zqFN$\"3=q&Q!G2+@(*F-7$$\"3
;,++D\\'QH(FN$\"31y*R_@EGw*F-7$$\"3%HL$e9S8&\\(FN$\"3'[!\\;pXn'z*F-7$$
\"3s++D1#=bq(FN$\"3yo.4tE5F)*F-7$$\"3\"HLL$3s?6zFN$\"3%>rC!fWg_)*F-7$$
\"3a***\\7`Wl7)FN$\"3e/$p%p)=a()*F-7$$\"3enmmm*RRL)FN$\"3/K2r5X:%*)*F-
7$$\"3%zmmTvJga)FN$\"3k,0XO@\\5**F-7$$\"3]MLe9tOc()FN$\"3\"[)3<XVFC**F
-7$$\"31,++]Qk\\*)FN$\"3H6qm*G6^$**F-7$$\"3![LL3dg6<*FN$\"3QIoF=poX**F
-7$$\"3%ymmmw(Gp$*FN$\"3!*oTwuIr`**F-7$$\"3C++D\"oK0e*FN$\"3SYOr$3**4'
**F-7$$\"35,+v=5s#y*FN$\"37_z1*3?p'**F-7$$\"#5F)$\"3)R)[%G/1B(**F--%'C
OLOURG6&%$RGBG$F_[l!\"\"F(F(-%+AXESLABELSG6$Q\"u6\"Q!F\\\\l-%%VIEWG6$;
F(F^[l%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 
0 0 "Curve 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 59 "Yes, this is how
 a distribution function should look  like." }{MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 79 "\"Maximum-Likelihood Estimators of the two paramete
rs of Binomial distribution\":" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 12 "with(stats):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "X:=
random[binomiald[7,.3]](25);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"XG
6;\"\"#F&\"\"%F&\"\"\"F'F&F(\"\"$F)F'F'F'F&F(\"\"!F&F(F(F&F)F'F(F&F*" 
}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 88 "Normally, we will be getting on
ly the values, NOT knowing how they have been generated.." }{MPLTEXT 
1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 52 "lnf:=ln(n!)-ln(x
!)-ln((n-x)!)+x*ln(p)+(n-x)*ln(1-p);" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#>%$lnfG,,-%#lnG6#-%*factorialG6#%\"nG\"\"\"-F'6#-F*6#%\"xG!\"\"-F'6#
-F*6#,&F,F-F2F3F3*&F2F--F'6#%\"pGF-F-*&F8F--F'6#,&F-F-F<F3F-F-" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "LF:=sum(subs(x=X[i],lnf),i=1
..25);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%#LFG,>*&,&%\"nG\"\"\"\"\"%
!\"\"F)-%#lnG6#,&F)F)%\"pGF+F)\"\"'*&\"\")F)-F-6#\"\"#F)F+*&F3F)-F-6#-
%*factorialG6#,&F(F)F6F+F)F+*&F1F)-F-6#-F;6#,&F(F)F)F+F)F+*(F1F)FCF)F,
F)F)*(\"\"$F),&F(F)FFF+F)F,F)F)*(F6F)F(F)F,F)F)*&FFF)-F-6#F1F)F+*&FFF)
-F-6#-F;6#FGF)F+*&F1F)-F-6#\"#CF)F+*&F1F)-F-6#-F;6#F'F)F+*&\"#bF)-F-6#
F0F)F)*(F3F)F=F)F,F)F)*&\"#BF)-F-6#-F;6#F(F)F)" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 59 "fsolve(\{diff(LF,n)=0,diff(LF,p)=0\},\{n=5..in
finity,p=0..1\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%\"nG$\"+(3r'=
n!\"*/%\"pG$\"+kqXuK!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "
" }}}}{MARK "18 0 0" 87 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
{PAGENUMBERS 0 1 2 33 1 1 }