DISTRIBUCIÓN T DE STUDENT 1

January 22, 2023 | Author: Anonymous | Category: N/A
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Hkt. Mlfrogn Hmrbmv`llmbm Ludm

Ostmgèst`bm @@

LM G@RWY@ G@RWY@I_B@ÒD I_B@ÒD t GO RW_ RW_GODW GODW Lm g`str`iub`òd t go stugodt n s`hplohodto g`str`iub`òd t fuo ostmilob`gm od =500 pnr ol ]uèh`bn @dklos [`ll`md Romly Knssot(=5;6-=02;): h`odtrms trmimcmim od tàbd`bms go bml`gmg, su puostn dn orm `d`b`mlhodto go ostmgèst`bn y su gog`bmb`òd goièm ostmr oxblus`vmhodto oxblus`vmho dto odbmh`dmgm m hocnrmr lns bnstns go prngubb`òd, puil`bn sus emllmzkns mdòd`hmhodto mdòd`hmhodto f`rhmdgn sus mrtèbulns bnd ol sougòd`hn go “Rtugodt‘, pnr ln

quo so bndnbo pnr osto dnhiro. Od ol ostug`n go lm g`str`iub`òd t go stugodt ostí `dhorsm od ol bndboptn go krmgns go l`iortmg: pmrm gof`d`rln so emrí roforodb`m m lm vmr`mdzm huostrml. Gof`d`b`òd.  Ro g`bo quo udm vmr`milo mlomtnr`m bndt`dum W so g`str`iuyo sokód tstugodt (hís irovohodto sokód t) bnd r krmgns go l`iortmg   y so roprosodtm

pnr W   t ( r )   s` su fudb`òd go gods`gmg os3  ( r + =) / 9      t 9  f (x) 8 = +  r    (= / 9 ) r (   )  

∙( r ∙=) //9 9

,

∙   t  +,  

gndgo, r os ud odtorn pns`t`vn. Ru kríf`bm os go fnrhm bmhpmdn`go s`hàtr`bm od born bnhn so roprosodtm od lm f`kurm

G`str`iub`ò d t-Rtugo t-Rtugodt dt

Lm g`str`iub`òd t-Rtugodt t`odo lms s`ku`odtos prnp`ogmgos3 =.

U

t ( r ) odtndbos,

hog`m3

 8

1,  vmr`mdzm3



9

 

8

r  r∙9

, r





Nisorvo quo lm vmr`mdzm go lm g`str`iub`òd “t‘ os hmynr quo go lm g`str`iub`òd  D ( 1,=) .  Qorn bumdgn r  ↙ + , lm vmr`mdzm go lm “t‘ t`odgo m =. =

_D@VOYR@GMG MDG@DM GOL B_RBN 

 

Hkt. Mlfrogn Hmrbmv`llmbm Ludm

9. R`

D ( 1,=)  y [

S



9

Ostmgèst`bm @@

( r )  snd vmr`milos mlomtnr`ms `dgopodg`odtos, odtndbos,

lm vmr`milo mlomtnr`m3 W

S

( ) 

t r 

8

w r 

2. Rom U ~ t(r), bumdgn iuodm, s` r  21  

r  ↙ +

, U so mprnx`hm m

 D ( 1,=) .   Lm

mprnx`hmb`òd os

_RN GO LM WMILM t-RW_GODW Lms íroms n prnimi`l`gmgos go lm t-stugodt so bnds`kuod go pmquotos ostmgèst`bns, go bmlbulmgnrms bnd ostmgèst`bm mvmdzmgm n go tmilms.

Lm tmilm t-stugodt go osto toxtn, rolmb`ndm ol írom hog`mdto

Q  W  t=∙ ,r   8 = ∙   bnhn

=∙ 

 bnd ud vmlnr

b 8 t=

∙

,r 

 

so `dg`bm od lm f`kurm

OCOHQLN

=. R` U~ r(=5), emllo3 m)  Q  U  9.=1=  

  b)  Q  U  ∙9.5;5  

 i)  Q  U

 =.;27

g)  Q  ∙=.22N  U  9.??9   o)  Q  U

9

 

RNL_B@ND. m. QZU  9.=1=X 8 1.0;?  

i) Q  U  =.;27 8 = ∙ Q  U  =.;27 8 = ∙ 1.0? 8 1.1?   b)





Q U  ∙9.5;5 8 = ∙ Q

 U  9.5;5 8 = ∙ 1.00? 8 1.11?  

g) Q  ∙=.221  U  9.??9 8 Q  U  9.??9 ∙ Q  U  ∙=.221   8 1.001 ‗ (= ∙ 1.01 ) 8 1.001 ∙ = + 1.01 8 1.50

9

_D@VOYR@GMG MDG@DM GOL B_RBN 

 

Hkt. Mlfrogn Hmrbmv`llmbm Ludm

Ostmgèst`bm @@

o) rosnlvor3 Q  U  9   RNL_B@ÒD Qnr `dtorpnlmb`òd so t`odo3 Vmlnr go t3

=.;27  9  9.=1=  

1.0?1  M  1.0 .0; ;?  

Íroms rospobt`vms3

 M   ∙ 1.0?1

Odtndbos3   M ∙

9.

R`

9 ∙ =.;27 8

1.0;? ∙ 1. 1.0?1

1.0?1 8



M ∙ 1.0?1

9.=1= ∙ =.;27

(1.19?)(1.966)



1.26;

U ~ t(= t(=1)  emllo ol vmlnr b

1.19?

M 8 1.0?1 +

1.966 8

1.26;

 

1.1=5 8 1.065  

tml quo3

m) Q  U  b 8 1.00?   i) Q  U  b 8 1.1?   Q U



b)  g) Q  ∙b

b



8

1.1=

 



 U  b 8 1.0?

 

o) Q  U  b 8 1.09.   RNL_B@ND. Emllmr ol vmlnr go b go bmgm udm go lms s`ku`odtos prokudtms3

m) s`3

QZU  bX 8 1.00?



b

8

2.=60  

i) s`3 Q  U  b 8 1.1?   RNL_B@ÒD 





R` 3 Q U  b 8 1. 1.1?









Q U  b 8 =∙ Q U  b b





 Q U  b 8 =∙ Q U  b





 



 Q U  b 8 = ∙ 1.1? 8 1.0?  

=.5=9 ol pudtn “b‘ os dokmt`vn  pnr quo so

8 ∙

odbuodt odbuodtrm rm m lm `zqu`orgm gol born mrv`trmr`n. 

b) s`3 Q U 4 b 8 1 . 1 =  Emllmr ol vmlnr go “b‘  RNL_B@ÒD 



Q U 4 b 8 1.1=











 Q U 4 b 8 =- Q U  b

 Q U  b 8 =- 1.1= 8 1.00





 

 Q U  b 8 1.00

 b 8 9.;67  

2

_D@VOYR@GMG MDG@DM GOL B_RBN 

 

Hkt. Mlfrogn Hmrbmv`llmbm Ludm

Ostmgèst`bm @@

1..0?  Emllmr “b‘  g) s`3 Q  -b  U  b  8 1

RNL_B@ÒD  







Q -b  U  b 8 1.0?



1 .0?1  U  b  - ((==- Q  U  b ) 8 1.  9Q  U  b  8=+1.0 8=+1.0?18 =.0?1 0?1

Q





9Q U  b 8 =. =.0?1

o) s`3









 Q -b  U  b 8 Q U  b - Q U  -b - b 8 1.0?



Q



Q U  b 81 1..0;?

 

1.0?1  U  b  - =+ Q U  b  8 1.

b 89 9..995

 

 y b8-9.995

  b 8 1.09.  

Q U

snlub`òd y =.2;9  b  =.5=9  

Q  U  b 8 1.09. 1.011  1.09  1.0?1

Yosnlv`odgn pnr prnpnrb`ndml`gmg so t`odo3 b ∙ =.2;9

1.091 ∙ 1.011

b ∙ =.2;9

8

=.5=9 ∙ =.2;9 b ∙ =.2;9 8



1.0?1 ∙ 1.011

1.771 1.7 71  1.1 1.191 91

1 1..191 8

1.771

 b 8 =.2;9 +

1.1?

1.=;6

 

 b 8 =.?75

1.1?1  b 8 =.?75

 

2. R` U tt`odo `odo g` g`str`iub`òd str`iub`òd t go stud studgodt godt bnd =; krmgns go l`iortmg, Em Emllmr3 llmr3 m.- Q  U  9.505   i.-

Q .;71   U 4 =.;7   b.- Q U  -2.06?



 

RNL_B@ÒD

m.- Emllm3

Q  U    9.505



 

snlub`òd Q  U    9.5 .50 05

00? ?   8 1.00



i.- Emllmr3

Q ;71   U    =.;71 

8 > 

snlub`òd  Q  U 4 =.;71  8 = - Q  U

b.- emllmr3

Q U  -2.06?



 =.;71  8 = - 1.0? 8 1.1?  

 

snlub`òd 









Q U  -2.06? 8 =-Q U  2.06? 8 =-1. =-1.0 000? 8 1.111?  

7. R` U t`odo g`str`iub`òd t go stugod stugodtt bnd =9 krmgns ggoo l`iortmg, em emllmr llmr ol vmlnr go “b‘  tml quo3 7

_D@VOYR@GMG MDG@DM GOL B_RBN 

 

Hkt. Mlfrogn Hmrbmv`llmbm Ludm

m.- Q  U  b  8 1.0?   i.RNL_B@ÒD m) Q  U  b  8 1.0?   Rnlub`òd

i)

Q U

 b  8 1.0?

Q U

 b  8 1.1?  

Ostmgèst`bm @@

Q U

 b  8 1.1?  

 b 8= =..;59  

Rnlub`òd Q U

 b  8 = - Q  U  b  8 1.1?  

=∙ Q

 U  b  8 1 1? Q  U  b  8 1 0?1 .

Q U

 b  8 = ∙ 1

 b 8=

.

1?

.

;59

 

.

?. R` U t`odo g`str`iub`òd t go R Rtugodt tugodt bbnd nd =5 krmgns ggoo l`iortmg, emllmr3 ??9 9 =1= 5;5 m. Q  U     9 ??    i.- Q  U     9 =1=    b.- Q  U     ∙9 5;5   .

g.-

.

Q  ∙= 221



.

U



,

9 ??9   

o.-

.

Q  U    2 099    .

snlub`òd m. Emllmr3 Q  U  9 ??9   .

Rnlub`òd Q  U    9 ??9 .

8 1 00   .

i. Emllmr3 Q  U    9 =1=   Rnlub`òd .

Q U

9

=1= 

.

8 = ∙ Q  U  9

=1= 

.

8=∙ 1

0;?

.

81

19?  

.

b. Emllmr3 Q  U    ∙9 5;5   Rnlub`òd ,

Q U

 ∙9 5;5 8 = ∙ Q  U  ,

g. Emllmr3 Q  ∙= 221  Rnlub`òd .

Q ∙=.221



U

U

9

9.5;5 

8 =∙ 1

00?

.

81

11?  

.

??9   

.

 9.??9 8 Q  U  9.??9 ∙ Q  U  ∙=.221 

8 Q  U  9.??9 ∙ Z= ∙ Q  U  =.221X 8 1.00 ∙ = + 1.01 8 1.50

 

o. Emllmr 3 Q  U    2 099   Rnlub`òd .

?

_D@VOYR@GMG MDG@DM GOL B_RBN 

 

Hkt. Mlfrogn Hmrbmv`llmbm Ludm

Ostmgèst`bm @@

Q  U    2 099 81.000? .

6. R` U ~ t(9 t(9=)  emllo ol vmlnr b tml quo3 m) Q  U  b 8 1.0;?   i) Q  U  b 8 1.=1  



 8 1.1?  

b)

Q U

g)

Q ∙b  U  b 8 1.0?  



b





o) Q  U  b 8 1.09.   RNL_B@ND. Emllmr ol vmlnr go b go bmgm udm go lms s`ku`odtospro s`ku`odtosprokudtms kudtms3

m) s`3 i)

QZU  bX 8 1.0;?





R` 3 Q U  b 8 1.=1



b

8

9.151  





 Q U  b 8=-1.=181.01

b 8 ∙=.292  

Q U4b 81.1?

b) s`3 

, Emllmr “b‘ 



RNL_B@ÒD  





Q U 4 b 8 1.1?







 Q U 4 b 8 =- Q U  b



 Q U  b 8 =- 1.1? 8 1.0?

g) R`3

 

 b 8 =.;9=

 

Q ∙b  U  b 8 1.0?  





RNL_B@ÒD Q

 ∙b  U  b 8 1.0?  Q ∙b  U  b 8 Q  U  b ∙ Q  U  ∙b 8 1.0?   

Q  U  b ∙ (= ∙ Q  U  b 8 1.0?1 9Q U  b 8 =.0?1

o) s`3



9Q  U  b 8 = + 1 1..0?1  

 Q U  b 8 1.0;?

    b 8 1.09.  



Q U

 b 8 9.995

 



RNL_B@ÒD  Rom Q  U  b 8 1.09.  

@dtorpnlmdgn so t`odo3 =.292  b

Vmlnr go t3

Íroms rospobt`vm rospobt`vms3 s3 Odtndbos3

b ∙

 

b ∙

1.011  1.091  1.0?1  

=.292

=.;9= ∙ =.292

=.292 8

 =.;9= 

8

1.091 ∙ 1.011 1.0?1 ∙ 1. 1.011

(1.205)(1.19) 1.1?

b 8

b ∙



=.292

1.205

8

1.19 1.1?

 

=.292 + 1.=?09 8 =.7599  

6

_D@VOYR@GMG MDG@DM GOL B_RBN 

 

Hkt. Mlfrogn Hmrbmv`llmbm Ludm

Ostmgèst`bm @@

;

_D@VOYR@GMG MDG@DM GOL B_RBN 

 

Hkt. Mlfrogn Hmrbmv`llmbm Ludm

Ostmgèst`bm @@

5

_D@VOYR@GMG MDG@DM GOL B_RBN 

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