introduction to statistics lecture - little dumb doctor · *f^*^ trt-e ,lecv uri( rt"f b"...

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I^Wd6{,{lr* &t+t la,*yl*- tYo*t- tT) , So"w,fk f,paa, A6-n. t '- vv " Fr", ,*t grtu* t'ab, caa't lL Le e! / o )lafrs N-r<- ) g( y,o b sYfeYiN@{+ * , - Robt A ol,l{ :) f '' '' l' 9' r' 6 I ,&nru,+.n b Y,alrt. S'^t/tm { [ W' [/o ] frr6 2 coiw:. , I rt *in zd o"ix -- H:(H,H) H < T =(H.r) T /H =tf,H) \ T *(T"T) fi: Sa,rvlt sft,tA {nY 4L geadar 4 , cl";t l'rca ' ---'---- \ &, iJl-.n't'r fu f""b * j.+{.5 2 3ir{'5 a^r" 4 3 C;td&fi? ) cg.te.s wlrd. 2 $;rts; (q, Gt,6) , (E, 6, E ) , (8, q, 6 ) + f*bL,o+ ,n;lt m^krf )ol;rarc*) = t * Yj^ti"*srdw*'n" (t) t-+il. # vf y"rsible crye,l ! l t* cl",trt 2^d E, DsfLt)< I bryXwr +1""r, t, ke cun't k le'n +lw5 -/ (? G-/ , ____.__ b -l JJ - r b,t6,\ I ye>sibtn Ot^lt,*vo.4,t (r) More Tutorial at www.LittleDumbDoctor.com

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Page 1: Introduction to statistics Lecture - Little Dumb doctor · *f^*^ trt-e ,LecV uri( rt"f b" s*t*ptete t^hf/\ cil.aro 2'"q

I^Wd6{,{lr*

&t+t la,*yl*- tYo*t-

tT) , So"w,fk f,paa,

A6-n.t '- vv " Fr", ,*t grtu*

t'ab, caa't lL

Le

e!

/ o )lafrs

N-r<- )g( y,o b

sYfeYiN@{+ * , -

Robt A ol,l{ :) f '' '' l' 9' r' 6 I,&nru,+.n b Y,alrt. S'^t/tm { [ W' [/o ]

frr6 2 coiw:. , I rt *in zd o"ix

-- H:(H,H)H < T =(H.r)T /H =tf,H)

\ T *(T"T)fi: Sa,rvlt sft,tA {nY 4L geadar 4 , cl";t l'rca '

---'----

\

&, iJl-.n't'r fu f""b * j.+{.5 2 3ir{'5 a^r" 4 3 C;td&fi?

) cg.te.s wlrd. 2 $;rts; (q, Gt,6) , (E, 6, E ) , (8, q, 6 )

+ f*bL,o+ ,n;lt m^krf )ol;rarc*) = t * Yj^ti"*srdw*'n" (t)t-+il. # vf y"rsible crye,l !

l t*

cl",trt 2^d

E, DsfLt)< I

bryXwr +1""r, t, ke cun't k le'n +lw5

-/ (?

G-/, ____.__ b

-lJJ

-r

b,t6,\

Iye>sibtn

Ot^lt,*vo.4,t

(r)More Tutorial at www.LittleDumbDoctor.com

Page 2: Introduction to statistics Lecture - Little Dumb doctor · *f^*^ trt-e ,LecV uri( rt"f b" s*t*ptete t^hf/\ cil.aro 2'"q

t/e nn D;e,4r6a "ofi e*^yt.**d*4 E*r*." o7pu5 i t€"'. P';/e,;t ,

ptEt r PLE) *l

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Wb( gal e;+i,e{ fr n 8)

{tv-b , rLt nei nW A h,s,/

4 >l+26=p"-b ,* h,r+ q*ry qtr

+ fwb{ rr,"t qe* k0) =

&l**d _!'efo ,"{r*ltxa-,.,3

4f3

rar*iqrtq Sate;c* uN yey,c',\.

d" t A**', *k p--L- * $"+er^J

4 pr-A ( T,5p< a) '- 45'o

= ?fi-- zvPF"

B) = fwbt get eitl*r 0 oy A 0)

z)trhb"

l- pr"ob( g*? ftg)

,zkt, -

4t- T= F.'frt' Ley!

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.,

Fw a rymru,hrz c*itt,

r,{erl^ f,*rs (8i,r lo tiu{ar, ^,3,+ d$tcruut +o yt +4 h"fu'}'t .

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w

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a{nrst {wye €p

wiwvwv wec

4+ ( 41.u' *goo ) ln"lt.

4** qe,tp*o "6 ) H Lu*ls

drr +* fr'"'kf +'ur$,,

/T,E[,

fu ra,w{Lz g*t, l"a,'Se;v"

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More Tutorial at www.LittleDumbDoctor.com

Page 3: Introduction to statistics Lecture - Little Dumb doctor · *f^*^ trt-e ,LecV uri( rt"f b" s*t*ptete t^hf/\ cil.aro 2'"q

{*+,2, dr N*tu,ol. excl6i,rc ,Uet^*5, taa't }*ery at *{^t sx},tt tit'y*

cAti't p tw,e ,t{ +l"L s{,la,,.tL *\^q,

%' fu,au* pr. T*fuw tr

4&4r.* b kdrY il

erfr$& C' T-rtn% ':-\=). o*+vt A,& I -\

eA*.wt A &, c ,/ovtak g e, ( , l*t ,t^*tu*( .xo(w;tX.

N+<, E/.e,$,-* E ar*i itr 6q*pJen^',ar\:r,ry e;.res * A,r< 6"[we.'6r YntxtoaL excj'u'rive /

( tr) , A oioiit'lrvt f*{e -f* p*b ,

Fw vrm*ins"l ex clii-ii*e w<wk A *J

Ptn c,r b) t PtAl +

Venw ?r*1rtm, i* A rl,"{ 6 cr,,r.e-

f{Aw 0l

3 fLA) + p(p).

$ h, b ${e, NY

Nb Otrytapt.

nn*tt^a{ ex [l,usirt ,

)oark"Pl.

p(A €t fi) = p(A)trtb)- P(A arJ 0)

lht,tK \; > tn^^tn^hL excl,,'* iurt

P'rrdt4, ,/Ai,.{- ttr'un

Mv*wl. ex.0t.(iye,

ht2

P(6) tzt

wn +wL exr,lw.li,A ..

o@

Ah^rr-rtrl frue t, i*y&t'* -fgrrorrlt I

(3)More Tutorial at www.LittleDumbDoctor.com

Page 4: Introduction to statistics Lecture - Little Dumb doctor · *f^*^ trt-e ,LecV uri( rt"f b" s*t*ptete t^hf/\ cil.aro 2'"q

f;r f"t *i{ l",,rna,{.e &ie'(e G +wl*

Nwtz -T

f lqlstol+.

Tr#^ ,o )@&,, F,M tr{^q. f*b * vwe*,,{, t.tt trdf +P b rtn& *.4 Nale I h

4 fr,e$X A , T1,L s'ta,{y +4 h" r*W , ,\ n, 0 -t '

=) g, *" t**,fntr-, P(A &/ $) = t)(A) t f fi) * {r(A d,'i b)

&

5I

?

pLA) ' f*h( re b DtuL+i'q = *

l)Lb) = yr-bt+P lrt- n,ale) = +[e( +,,, lV',rtj1:;9t,'cruhrm t''"'le,

% , A e'o'itt tT 't'"*'A u,.A

&, Jl^A +1'* Y*b' ot ge,*tnY

=) fwb*. *.t *

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t'rrtled,

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%, A cnw.\'r eLaxn W 't' 't"k' d*t' wfLueo\'Vyy*'Z,'4 couA rI ,l*a,*o'r't ' {"A tk Y*b" ut #+a ^ d' ev*l A '

,t " fr P*u' "f 1:'1 * h c,r^ t'

W,af 3o++'3 rt n' +{e t't t*d

4More Tutorial at www.LittleDumbDoctor.com

Page 5: Introduction to statistics Lecture - Little Dumb doctor · *f^*^ trt-e ,LecV uri( rt"f b" s*t*ptete t^hf/\ cil.aro 2'"q

&, d*,+- ,f w *pL.*tu,ue,,& a'$w dr,au'rt^3 -d* I tt ,*d ?

*f^*^ trt-e ,LecV uri( rt"f b" s*t*ptete t^hf/\ cil.aro 2'"q <*,A (

+ y"*b(qztt,-A eJe) e f, #^VHere p(/\ tud d,) + ytA).yte)

U* *l*! $*L AlsT frfefxi,qet*t,fr"" ;or^^dt1;d f."b

() )

Ir,^t*4at^* lvnwlrl:lr

Wb * b 9;w^

6^d 0)*f(A)"Pilt)N."fe.,,f A, b G{.e i^}e+e}*te*

4*4\ f t tti A) =

N , $6,rnn

&' P(rrn) c( T N^rA N)a

ywbt,*'t N oar,4g f E* llYl)ptn)

O rOb

A ".L

llr"Ut codt $r'*t Paahr3 i

a"vq*. Pt A

f(A a,{.d A)

P cA)W = 7e0)

7"41

tl*+ ir, fL$lA)*ptTl "+*inJ.apon{ea* e^rerr{'s, A,0,tl

infitif,r'et"\ ne,hL trehre . ,f h , b &re i4dqeryna$'l ,

n[a^ d* c,endrf,snai @ * b 0i*^ A J'/..r,^I,d t',* d"fu"l 'o 'q ,l

fi' fr*r. * Xovlt ccrn't 'F,l*i ,\ p,lrk\ a,'ol t''n'l +' F*k a* !-ne-farprr^3

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Proi+*, 7r Scwr rJrt. ^ *rckek.

ca,*t* #htt pttrk\, l.ai t, pauk ir.. Nere *f wk$l *",&tQ.

P( 0l A) =

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Page 6: Introduction to statistics Lecture - Little Dumb doctor · *f^*^ trt-e ,LecV uri( rt"f b" s*t*ptete t^hf/\ cil.aro 2'"q

q, CIwt o{

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d,.

-\

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D*ithe , eLe{.+ Y r pPg*s* 55rd y€r ,

el,covy .wr ." phryv\ is r^o{e' f roblY I 11)

ptM) = 6r/".L,eo

.LI b-s

e Wxe, e,l,tt* A , g"Tt'Y a* len),+

bwfrler-d4^\ -eAfrr* A , goi+,! O

=) f{.5)=t-pt{l, t-

+,* t.*Siiet wwytctut'tttag A^nn* ( "

*intgr, -*h,t +A {r"e *filile rai( ?

6rq tz$( c'a* of

r&it ol^x * 5

J.2Iheod'

rl-l.J;. ; 2 ztzzn

'5 f.r'E:j, "

*,otsa;-=- $ kd;'

*L)z

/t\l

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