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‫‪1398/10/07‬‬ ‫ﻛﺎرﺷﻨﺎﺳﻲ‬ ‫‪08:30‬‬ ‫ﺗﻌﺪاد ﺳﻮاﻻت ‪ :‬ﺗﺴﺘﻲ ‪  :‬ﺗﺸﺮﻳﺤﻲ ‪ :‬‬ ‫ﻋﻨــﻮان درس ‪ :‬‬ ‫زﻣﺎن آزﻣﻮن )دﻗﻴﻘﻪ( ‪ :‬ﺗﺴﺘﻲ ‪  :‬ﺗﺸﺮﻳﺤﻲ ‪ :‬‬ ‫ﺳﺮي ﺳﻮال ‪  :‬‬ ‫  ‬ ‫رﺷﺘﻪ ﺗﺤﺼﻴﻠﻲ‪/‬ﻛﺪ درس ‪ :‬‬ ‫‪"# 12 &# 345 67/ 1 &8#‬‬ ‫‪-1‬‬ ‫       '...

‫‪1398/10/07‬‬ ‫ﻛﺎرﺷﻨﺎﺳﻲ‬ ‫‪08:30‬‬ ‫ﺗﻌﺪاد ﺳﻮاﻻت ‪ :‬ﺗﺴﺘﻲ ‪  :‬ﺗﺸﺮﻳﺤﻲ ‪ :‬‬ ‫ﻋﻨــﻮان درس ‪ :‬‬ ‫زﻣﺎن آزﻣﻮن )دﻗﻴﻘﻪ( ‪ :‬ﺗﺴﺘﻲ ‪  :‬ﺗﺸﺮﻳﺤﻲ ‪ :‬‬ ‫ﺳﺮي ﺳﻮال ‪  :‬‬ ‫  ‬ ‫رﺷﺘﻪ ﺗﺤﺼﻴﻠﻲ‪/‬ﻛﺪ درس ‪ :‬‬ ‫‪"# 12 &# 345 67/ 1 &8#‬‬ ‫‪-1‬‬ ‫       ' ‪)#* +,- ./‬‬ ‫‪.‬‬ ‫‪-2‬‬ ‫ ‪.‬‬ ‫‪! "#  $% # &' (#‬‬ ‫‪.‬‬ ‫‪.‬‬ ‫; ‪"#  >? # &'  7;    +,- : :5./ =/  /=    +,- &/ 9*' :5‬‬ ‫!‬ ‫ ‪ /  /.‬‬ ‫‪-3‬‬ ‫ ‪/.‬‬ ‫ ‪/.‬‬ ‫ ‪! "#‬‬ ‫‪.‬‬ ‫‪!"4 %  *G./     F  : +,- ?: B   &  C? DE‬‬ ‫ ‪.‬‬ ‫‪-5‬‬ ‫ ‪ /  /.‬‬ ‫; ‪@?   +,- A B./ /  =    +,- &/ 9*' :5‬‬ ‫ ‪/.‬‬ ‫‪-4‬‬ ‫ ‪ /  / .‬‬ ‫ ‪ /  /.‬‬ ‫ ‪.‬‬ ‫ ‪.‬‬ ‫ ‪.‬‬ ‫‪  K? HC# ;./  9  H = : = )7   67CA ? HC# 7 I J? : 67>?7‬‬ ‫ ‪LHB‬‬ ‫ ‪! "#  67CA % M+5 67>?7.‬‬ ‫‪.‬‬ ‫‪-6‬‬ ‫‬ ‫ ‪/.‬‬ ‫‪.‬‬ ‫‪ /.‬‬ ‫‪: "#   : /=..O. ' #* 67>?7‬‬ ‫‪.‬‬ ‫‪-8‬‬ ‫ ‪.‬‬ ‫‪P..O.=.. !"# N 1 ' ?7‬‬ ‫‪.‬‬ ‫‪-7‬‬ ‫‪ .‬‬ ‫ ‪.‬‬ ‫‪.‬‬ ‫ ‪/.‬‬ ‫‪.‬‬ ‫‪LHB W#. LHB %=  R#  : % = R4   LS 9*  M+5 T  B  7* U B‬‬ ‫‪!"# +G R# : 6  M+5‬‬ ‫‪.‬‬ ‫‪-9‬‬ ‫ ‪/.‬‬ ‫‪! "#  . ..=. + 14C 67>?7‬‬ ‫ ‪/.‬‬ ‫‪-10‬‬ ‫ ‪.‬‬ ‫‪ /.‬‬ ‫ ‪/.‬‬ ‫ ‪/.‬‬ ‫ ‪/.‬‬ ‫ ‪"'#   A7  "' #   N:  A7 X : "'#   A7 X "' #   B4 1 R:  A7 X A7,‬‬ ‫‪1  67>?7 1  N.F7,  W# "' # ,#J ."# &  -‬‬ ‫ ‪ .‬‬ ‫‪/OP‬‬ ‫ ‪.‬‬ ‫ ‪ .‬‬ ‫ﻧﻴﻤﺴﺎل اول ‪1398-99‬‬ ‫*‪!"# )#‬‬ ‫ ‪ .‬‬ ‫ﺻﻔﺤﻪ ‪ 1‬از ‪5‬‬ ‫‪1398/10/07‬‬ ‫ﻛﺎرﺷﻨﺎﺳﻲ‬ ‫‪08:30‬‬ ‫ﺗﻌﺪاد ﺳﻮاﻻت ‪ :‬ﺗﺴﺘﻲ ‪  :‬ﺗﺸﺮﻳﺤﻲ ‪ :‬‬ ‫ﻋﻨــﻮان درس ‪ :‬‬ ‫زﻣﺎن آزﻣﻮن )دﻗﻴﻘﻪ( ‪ :‬ﺗﺴﺘﻲ ‪  :‬ﺗﺸﺮﻳﺤﻲ ‪ :‬‬ ‫ﺳﺮي ﺳﻮال ‪  :‬‬ ‫  ‬ ‫رﺷﺘﻪ ﺗﺤﺼﻴﻠﻲ‪/‬ﻛﺪ درس ‪ :‬‬ ‫‪-11‬‬ ‫‬ ‫   ‪! "#   & $? :./ " Y :   & C‬‬ ‫ ‪!.‬‬ ‫‪-12‬‬ ‫ ‪%.‬‬ ‫ ‪"#$.‬‬ ‫ ‪! & "'().‬‬ ‫?‪! "#  O.... ' 7 I J‬‬ ‫ ‪/.‬‬ ‫ ‪.‬‬ ‫‪.‬‬ ‫‪.‬‬ ‫‪N  9# 7Z >[G ) \."# & A7  7 I J? : X ?7.O 67>?7   9 B4 & C  91: -13‬‬ ‫;‪!"# *H‬‬ ‫‪.‬‬ ‫‪.‬‬ ‫‪K/ &;: B 1  1: Z =  -14‬‬ ‫ ‪/.‬‬ ‫ ‪/.‬‬ ‫  ; ‪.* 7S ]  B 1: Z ^? RC5."# / 7S   X."# B‬‬ ‫‪!"# N‬‬ ‫ ‪/.‬‬ ‫‪-15‬‬ ‫ ‪***.‬‬ ‫‪-16‬‬ ‫ ‪/.‬‬ ‫; ‪'    7T‬‬ ‫ ‪/.‬‬ ‫? ‪!74 % 6^C & C/ *G .7* 3T? C  H 9‬‬ ‫‪.‬‬ ‫‪.‬‬ ‫‪٩۴‬‬ ‫ ‪74 =   (  &*? = 9  :8 _ - *G‬‬ ‫‪.‬‬ ‫ ‪/.‬‬ ‫‪!.‬‬ ‫‪١٠٣‬‬ ‫‪.‬‬ ‫‪١٠۴‬‬ ‫‪! `7T ? #  aAT‬‬ ‫‪.‬‬ ‫‪۵۵‬‬ ‫‪.‬‬ ‫‪١٠۴‬‬ ‫‪RC5."# / : C*7#  ^* RC5 : / 1 b 9HA /C  Kc 1 2? ^* RC5 -17‬‬ ‫*^ ‪!"# +G.: C*7#   * /C 9HA 2? 6‬‬ ‫ ‪/.‬‬ ‫‪-18‬‬ ‫‪! "#  B 5 :  )7   person CA I: 5 67 1‬‬ ‫ ‪.‬‬ ‫‪-19‬‬ ‫ ‪/.‬‬ ‫ ‪/ .‬‬ ‫‪.‬‬ ‫‪١٢‬‬ ‫‪٣۴‬‬ ‫ ‪F+4 Y5 :‬‬ ‫‪.‬‬ ‫ ‪!.‬‬ ‫‪P (B ) = ٠/ ۴ : P (A ) = ٠/٢. B : A‬‬ ‫‪!.‬‬ ‫‪+G d Y5 : DC% RC5."# & "#‬‬ ‫‪!"#‬‬ ‫ ‪/.‬‬ ‫‪/OP‬‬ ‫ ‪/ .‬‬ ‫ ‪/.‬‬ ‫ﻧﻴﻤﺴﺎل اول ‪1398-99‬‬ ‫ ‪/.‬‬ ‫ﺻﻔﺤﻪ ‪ 2‬از ‪5‬‬ 1398/10/07 ‫ﻛﺎرﺷﻨﺎﺳﻲ‬ 08:30  : ‫  ﺗﺸﺮﻳﺤﻲ‬: ‫ ﺗﺴﺘﻲ‬: (‫زﻣﺎن آزﻣﻮن )دﻗﻴﻘﻪ‬   : ‫ﺳﺮي ﺳﻮال‬  : ‫  ﺗﺸﺮﻳﺤﻲ‬: ‫ ﺗﺴﺘﻲ‬: ‫ﺗﻌﺪاد ﺳﻮاﻻت‬     : ‫ﻋﻨــﻮان درس‬  : ‫ﻛﺪ درس‬/‫رﺷﺘﻪ ﺗﺤﺼﻴﻠﻲ‬ !"# +G./ : 4Z 67[:.&?S ?1 B 67 # ^* RC5."# ٢٧.  ۶۴.   ٩. ۶۴ ١.7 7? 4Z 1? ^* RC5 ۴ ٣. ۶۴ -20 ١. ۶۴ 7/ "Z : I     ;."# /d; e  9   =    7/ "Z = >/: B -21 !"# +G./ /d; e  "Z :  ^* RC5 ١ ٣٠. ١ ۵. /.  :"# 1    X /.  #7Z B 7f RC5 [>G g  -22 ٣ ٢   X ;٠ ≤ X ≤ ٢ f(X) =  ٨  !"# +G.* 7S    /= 67 7C X ^* RC5 ٠  /.  /.  / .  :/ 1    X /.  #7Z B 7f RC5 [>G g  h?*G -23 ٣ ٢   X ;٠ ≤ X ≤ ٢ f(X) =  ٨  !"# +G E ( X ) &>? ٠  . /=.  /=.  X ٢ 67>?7 !"# +G .  .  ! "#  .  ! "# . 5 ‫ از‬3 ‫ﺻﻔﺤﻪ‬ a٢v (x ) E (X , Y ) X 7 I J? : 67>?7 ; . v (ax ) + &>?./ av (x ). v (x ) 1398-99 ‫ﻧﻴﻤﺴﺎل اول‬ . -26. COV (X , Y ) = ۵ : E (Y ) = ١٠ : E (X ) = ۵ h?*G . -25 . + &>?./  Y a : B 7f  x ;. -24 . X −۴ ) $? :./ E (X ٢) = ١٠٩ : E ( X ) = ١٠ ; ٣ ..  . ( ! "#  av (x )./   /=.  -27 .  /OP 1398/10/07 ‫ﻛﺎرﺷﻨﺎﺳﻲ‬ 08:30  : ‫  ﺗﺸﺮﻳﺤﻲ‬: ‫ ﺗﺴﺘﻲ‬: (‫زﻣﺎن آزﻣﻮن )دﻗﻴﻘﻪ‬   : ‫ﺳﺮي ﺳﻮال‬  : ‫  ﺗﺸﺮﻳﺤﻲ‬: ‫ ﺗﺴﺘﻲ‬: ‫ﺗﻌﺪاد ﺳﻮاﻻت‬     : ‫ﻋﻨــﻮان درس‬  : ‫ﻛﺪ درس‬/‫رﺷﺘﻪ ﺗﺤﺼﻴﻠﻲ‬ (Y ) 9? ] 1 9/ 91: : & B  7f ! "#  v (X +Y )   6 /.  (X ) 9 B4 91: C7Z " /   h?*G ./ v (X ) = ١٠٠ : v (Y ) = ٩  ;j:  : /  F+4 & C  : .  -28 .  .  !"# N 1  ;j:  B 7f : >4,C ) \ -29 COV (X , Y ) = ١۵ :v (Y ) = ٢۵ : v (X ) = ٢۵ /.  /.  !"# N . /.  /.  E (X +Y )   6 ./ .  E (Y ) = ۴ : E (X ) = ١٢ ; -30 .  .     S 1: Z  ^* RC5 7* U B."# 1:  K  9 K 1 1: Z X   k C7# C7Z " / -31 !"# +G.*7*? 67 1   1: Z 1  l7  S 1:  ^* RC5."# %=*7* 67 1 / .  /.  !"# N X $? :./  g1 P = ٠/ ۵ : N =٢٠   Z   AC% : 9? _,- X B 7f . ! "#  (٠/ ٧۵)٢٠. /.  p (X = ٠) +."# (٠/٢۵)١٠ ١۵  $? : : =  67>?7  AC% : g1   ۴. (٠/ ۵)١٠   34. . /& 01(2 %.  (٠/٢۵)٢٠ X B 7f. λ٢. λ. ; 5 ‫ از‬4 ‫ﺻﻔﺤﻪ‬ % . 1398-99 ‫ﻧﻴﻤﺴﺎل اول‬ % .  -34 ,-..  λ -35. ! "#  X 67>?7  6#Z B 7f  77f ) \ % . -33. ! "#  6#Z g1 $? : ٢λ -32. .  !"47G 9 RC5 g1.*  m J8   $? 67/  /  WAn  56& 7!.  / .  /.  -36 % . /OP ‫‪1398/10/07‬‬ ‫ﻛﺎرﺷﻨﺎﺳﻲ‬ ‫‪08:30‬‬ ‫ﺗﻌﺪاد ﺳﻮاﻻت ‪ :‬ﺗﺴﺘﻲ ‪  :‬ﺗﺸﺮﻳﺤﻲ ‪ :‬‬ ‫ﻋﻨــﻮان درس ‪ :‬‬ ‫زﻣﺎن آزﻣﻮن )دﻗﻴﻘﻪ( ‪ :‬ﺗﺴﺘﻲ ‪  :‬ﺗﺸﺮﻳﺤﻲ ‪ :‬‬ ‫ﺳﺮي ﺳﻮال ‪  :‬‬ ‫  ‬ ‫رﺷﺘﻪ ﺗﺤﺼﻴﻠﻲ‪/‬ﻛﺪ درس ‪ :‬‬ ‫‪-37‬‬ ‫‪-38‬‬ ‫‪!/  R ? g1 7 S 1 1   1  N‬‬ ‫ ‪9   0  & "':;    ?"@ % % G g . Y‬‬ ‫‪ C? g1 $? :‬‬ ‫‪.‬‬ ‫‪µ‬‬ ‫‪/OP‬‬ ‫ ‪σ ٢ = ١۶ : µ = ٨٠‬‬ ‫‪.‬‬ ‫‪!"# N 9 \ 7 ./  g1‬‬ ‫ ‪.‬‬ ‫ ‪X >٠‬‬ ‫‪:‬‬ ‫‪f ( X) = ٢e −٢X‬‬ ‫‪.‬‬ ‫‪١ −X‬‬ ‫‪e‬‬ ‫‪٢‬‬ ‫ ‪.‬‬ ‫‪Y \ 7 ./‬‬ ‫‪١‬‬ ‫‪٢‬‬ ‫ ‪! "#‬‬ ‫‪١.‬‬ ‫‪۴‬‬ ‫ ‪!/  *H; N‬‬ ‫‪.‬‬ ‫‪µ٢‬‬ ‫‪.‬‬ ‫ﻧﻴﻤﺴﺎل اول ‪1398-99‬‬ ‫‪٢µ‬‬ ‫‪.‬‬ ‫‪١‬‬ ‫‪µ‬‬ ‫ﺻﻔﺤﻪ ‪ 5‬از ‪5‬‬

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