{VERSION 6 0 "IBM INTEL LINUX" "6.0" } {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 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 13 "Sandsynlighed" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "f:=x ->x*sqrt(4-x^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6#%\"xG6\" 6$%)operatorG%&arrowGF(*&9$\"\"\"-%%sqrtG6#,&\"\"%F.*$)F-\"\"#F.!\"\"F .F(F(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 5 "a:=0;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG \"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "b:=2;" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"bG\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "int(f(x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$** \"\"$!\"\",&\"\"#F&%\"xG\"\"\"F*,&F)F*F(F*F*,&\"\"%F**$)F)F(F*F&#F*F(F *" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "int(f(x),x=a..b);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6##\"\")\"\"$" }}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 60 "For at g(x) = c * f(x) kan v\346re t\346thedsfunktion, \+ skal k v\346re" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "g:=x->k*f (x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gGf*6#%\"xG6\"6$%)operator G%&arrowGF(*&%\"kG\"\"\"-%\"fG6#9$F.F(F(F(" }}}{PARA 11 "" 1 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "k:=solve(int(k*f(x ),x=a..b)=1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"kG#\"\"$\"\")" }} }{EXCHG {PARA 0 "" 0 "" {TEXT -1 73 "Lad X v\346re en stokastisk varia bel med funktionen g som t\346theds funktion. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 24 "Vi finder middelv\346rdie n:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "x*g(x);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#,$**\"\"$\"\"\"\"\")!\"\"%\"xG\"\"#,&\"\"%F&*$)F )F*F&F(#F&F*F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 7 "Den er:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "E:=int(x*g(x),x=a..b);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"EG,$*(\"\"$\"\"\"\"\")!\"\"%#PiGF( F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "Vi finder variansen" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "V:=int(x^2*g(x),x=a..b) - E^ 2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"VG,&#\"\")\"\"&\"\"\"*(\"\"* F)\"#k!\"\"%#PiG\"\"#F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "17 0 0" 0 } {VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }