---

--

No.

Date 1

~

\

AnsPi ~~}, Ie «1

1+-(A l~) ~ ~

Pi (£31 A) = I/z.

Pr ( ~ , F) ~ ..E.. -:'-5

2­Pr(pltZ)::: .- ­3

\3 Pr ( G: I r=J= 0

Pv- (FI E) ::: 0

f(eqso.'1

:=-Pr ( A / f3 ) Pr ( AflJ3) := , 2 z. -= F, ( (3) "t;

5

fr ( Af\()/ ,2 _P,(rs/A) - = -- .1z.,4Pr (A)

::;­Pr(E/F) Pr ( En F) , 32 -z: 3Z= -- ·1-Sp, (F) .. 1-5

Pr(F/6) -::: Pr ( E f\ F 1 ~2 ~ ~2. _ z..= .!.-- -~ - ­<i1 5 pr (£) ,ttY

o

_ 5" -x+ 11

Pr(~f\Fl=o

--

No. 1.2..

Date 2.

._----------~---~~----

Pr (E IF):=: Pr(Ef)F)

rrC F)

;;;: ~ 1/1.

- .i "2­

Pr(F[61 = Pr ( E/vpl = ~ -z ~ '3

\ f'r ( Eo) '3/q

3/gPr(r>jlt}:::

Pr(6/A') = VB I

5

3 -1 +-x -::- .1-1->< --;; z- 1­

-;; -x

== X'/'1

x -='- J/;~ Pr (8/rd -= Pr(Af)(3)/fr{A) ~ 0 ~ 2.

X:-}

Pr(()/A') ~ Pr(A I (\0J/fr fA')::: *-~_= .J. Yz. ?

No. ].2­

Date 3 - ~----.------------

Arts(-),Ie~

r;

_ J _ J.::j. -=- ?·3PiCf Ie) =- PI (En F) -= ,J.:t- -- ~ - -­- ?-1. 'l-P e,1-2­Pr (F)

fr ( l::()p)Pr(r/6)-= ::- ,21- - 2.1-; 'i' J :=- l'y~-- ~ - 'l-ypr (G) 3",~"

Pr(f~/F) =: Pr(G:I1t==) : Pres) f\'"(FI =Pdg) freF) PrCP)

f,(f'IF} '" Pr( ~1,f\P) '" Pr(F) - Pr(EnF) fr(r) Fr(pl

:::: 1- Pi (fZl F)

- , ,~

'3, 2No.

Date

\

pr (£'j ~) :::: Pr( E'(JF) == Prep) -Pr{E/lP)

PI'" ( p) Pr ( F)

-= Pr(F}­ fr(~)rr(~) = 1- f.,-{iE)

p,- (P)

- , {;

Pr (GI p')::: Pr (G n pi) z. Pr (e;1- Pro (f£/1-F)

Pr ( F') I - Pr ( F J

l- Pi (FJ

I

,1,...

A 10 I,,-de-f /v»f11,(s )(= Pr(A) f,.(O)

= (, " )( )( ~. z. )

q X -:::-­ I. z..

X -= ,3

-------

10

-~\

f- .~b lell'l

\

r ,

No. ~, 2.

Date 5 -~

,\) Pr (I~ )= \lI

II I

A l (J /,-,..let> 1.... 1"0<.<;

x"=' Pr (A (\ 0") ~ Pr ( A) r r (J3)

~ (.5)( x+,'t)

So ,5 x = ,'-- £)>< =2­

Pr(l3) = 'X+-,'i -= /f.tI-,Lf-;:,2

A I (J A,.r1t7 '/I. t 'n->-jJ'iC~ A -:::0 ~ Pr (Ij) == .. q

'= i {5 f'r (0 )

Pr(r3)== ~

~­ Pr(a/A) -: Pr(AIlI3) ­ .i _i_ 3 - t; f'rh4)('r/.A1

? - fr{;:t) Pr(e}

if \\ II 3 2­

~1,

b *j.z.S­

5"

1. ZNo.

Date

12. ~ (te..( T (?I v< B1)<;

1'''0'1 .. c>"

tl ( s l = C ( 1, 2,) -;:::: 1- •6~::= .J. I

\ 11 c (J

Pr[AJ~)~ fr (A-nrs)

Pi ((~ )

" (A) = 3,Q=I2.

(1(13)= ,,(A)+3

::::

:=

Pr{ltJ

(Jr ll$ )

15

~

~ [A) ~

(l £8 )

Pr(F)::: (Iv, PI ( (3 1:= '1/z -= 1z. p, ( f{1B1 -= Pr (p) =-1­Pr [f(\~J =f f,(P) (O.((n

~,2No.

Date 1­,

j

It Y). SP~ler~

lq ~/5

Pr ( SO" 1 leo) := I:)r ( ) till 1 () Co)

fr ( co)

15 7.(3

(" e.o.A~' L... J ~

(<.....(~ ~1j,C.f-'l.., ~ ~

_ t'I ( L f) ~)

",(E)

2.0 ==

No.

Date

\

(~ ) 15

( c 1 ;. l\

z.

)

'1

~

"

I z

. ~

. ~

# ,;

0-<f­+;

..

S ~

~ <:)

+ + 6

0 -'

0

.­ 0

s

t

,

0

-'

,

f)

Pr( 01+) := Pr(on+)

Pr ( +) "" " (

f\ (

0 n-:) +,)

-:. 2­-5

Pre +I 0 I ::::0 f'r( 0(1:)

rr (0) -=­ n( csnt-)

t\ ( (})

'2.. = ­\0 -1.-t;

p,( +­ (Ol)~ Pr( +n ciJ pr{ 0 ' )

c:: (\ ( +(l Of] = ",( a')

.~ II

No. 1/2­

Date q

Reet.son

ll?

oA 0 0 >--e- 7­

S-'u"""ple sf/Me 5 ~ :1-.elcm cn6 5v6~e--ls

~6J f 54.1/"40117 Llcei..,

f ~ A! fa tr/1, fn:S''''

It c 13

{\ (6'] = C{G, '2-) -I - {5'-1 = Ie.;

'I J/IN -:: 1­

.~ ~/5l '1 ~/to de> i 5 ( ...h Gel'

1­ '3 2­

-~2

S'K,...PU sft:t-ce S' ~ 2-.£/~m-6 5 vI. J .:.A-5

E:~ A ~ b.rJh ~ ~

E~ r3 -;. l:,.-11. 5' ~ f:<Jr.- i ~ /YJ~, A--- C /J

fcMA ~ c(- 5' ~~ Pr ( A I (3) -= Pr ( A ) -::= 1\ (,Ai )

---.- -----­f'rers ) f'\. (J3)

1\ (,4) ~ C (q,l.) -= q/J/z = b

,.. (8" z ((if,1-) + C( 1.~) + C ("2...:z"J ::::; b +-1-rl-:::: to

20

No.

Date /0

3 2 2.

r LJ:::-v",", C­

A ~ eJ.­ ~ uu f I'r-<. ~ b-ee P

i£~ J): Lq/h Ivrte<, 13 c::A

ff~ C~ k.~ ~ A---. titt"- ~ -+v--k C-1 rt- 11..-.. vee A

=/\{fJ)Pr(BjA)== Pr(8f1 A ) of\- CA-)f'r ( A)

f\(A)= ((1,2.)- C(1,2) ~7-/-3 =: ,~

(1((3) = 1­

fr (el /\ { c JPr ( It /1 C) =Pr{C/J4) - ­ -t\.(A-)('r (A){'i (A')

n(e) =; I+-/=z' Z/ri "" 1/'(

'2-1

g~ 'l-.di!~ ,d.-{//,J d-$5'~"? Ie 7pac~

AI< sa.-.,.....~£~ f!crA~' (J c..A

G~ f3~ b .v/'h

Pr(G/Pr) Pr ( A-n~) Pr(fJ} -::. II (8)0:=- --=:;

ACAriPr (I\') ('r cAI

1\ (If> =:: C ( 4.:Z,) -::0 6

(\ (fr)'-'::: C (Lf,-z.)·t- C C~.L) - ~ 1--). =- (

No,

Date I J

/\P, jj e~

\ 2)

BL..eWlule.T R.eA

'Z..Z. '3

E.~ A l n</~ ,r~

£~ (3$- ~~S ~

EI<~ ~ S -VtvJ4 ~ Pr{Al(3) -= Pr{A(113) = 1\ (AJ1t1)

Pr (f3 ) i'\ ({$ )

YI{Anr.d =- 1­1\ (6) = C ('1,2.) ::- r;,

~'3 s ~ 3-~/~e..,b -Q-vbu/t:>5a.~l'k 'ipAce

E~ A~ a.-U ~~

fE~ 13';

~~~~~ Pr(A/e):= Pr (lIflf3J = Pr (A) ;;

f',{n) -Prl(3)

IdA)=C(4,!J .:' 1­

1\ (t) J= (( I.f,~) 1- c.-($", 3)::: 1,1- f() :::- ($I

41t1.f ~ ~;;: ~

No. 5.2. Date t2.

- -------,,--------------- ­

Rea.S6h

-2-~----t-----::;·:y-;-;z-------------[-~-Z--l-~-4-1------ ­~)

A c f3

(J,-(A'{IJ)= P,-(I'II1I3) = I'r Cfl J

i'\ (A) = C( <'(. z.). c t ,,,1) -=: ~,t,,::: 3"

,,(3)::;: 3 G. + <: ("..z.) • <. (~.I)

~1&..-- (po ~ 1.~

'\ ~ -z:- ~....£ -~ ~ y~ / 1~ t ·e" th

I~S l~ \:I ~3

f~ sf-U<- 5';; '5 -~~

~ A' 2.F.-.....-tJr

~ ($-;' IF~"2.F"""JF., AC!3

Pr(f'r/i»:::= Pr{Afl(3) <:: Pr(IJI}-=tvC;A' - (',(f3 I ,or CI~) i'\. (n)

"lAl = C(l]~Z.)C(ZI~) = to ..l .. ;:;?'o

i\ (13 ~ -=' C ( '_d I "3) -- c ( 17~ 1 )

[20 -, 0 {{ 0

No.

Date i3

['u;' I:~/;-) ~-z...

tE~A: id~/5·.

t!~ ~ : f\.~ b~--tf,. Vh 9a.....e. c.L.a-,

Pr l A (lJj -:: 4'\ eft) ~

I\. Uj)

-=1 ' C; =" 3~

c ( z.o, "2..)- C ( 8.. z..) - C('?-t vJ - C( s-. -2.-J (,'i 0 -­ ?,....i - vI / 0

It:to-S'i t~1

J.-~~(f~ 1'-- I'l. mo. c..e )

~ .4!

~ (J~

Pr(AIIJ) :<

b..4A ~

1oc4JL ~

PI' (A(lB\ _

Pr()J)

:::. C (Z:l..)

C ($'; l.)

tor, t (J) Pre C Jfj) -::. Pr (C itO)

';0..1 ( O

No.)' '­

Date I if

P./» I<:.-n A-Y1 S

6 '=l­'Z~ (0.. )

Eve" t E ..

( b) n-j35 fi ( IJ /6) = Pi (0(1£) === (1 (O(1~)

Pr (6) f\ CiE)

!'\ ( f}/l £).= C (t-f z.) - C (J. z) = 2/- 3 -:: I?

Il ( b) - C ( 7-1 l) -::: 21

n/z/ : ".J ~ '1-1­-=t-.J

Evhvt F; I ~a--I Iw~

PI ( C f F) == Y\(C,I1P) r. (p)

, \ t\(cn F ) = 1,1-\-"2..,4:::0 '}1-1 =,9­

f\ ( Pj = £; ~ 1 = 15

24 [~~ l;~ J

~ 1,......,k. z..~

5'4rn-('1.e t;p4.ce 1-5 C;--e-~t ~ CrrtS()""I i ]~

~'2~

~~ A~ ft/~ ~

~~ 13 ! #)l a.vt4 P-e 7 A fA/J()/ l-dk. ~

Pr (A / 13) ~ J1 (All (j) I'\. lM

A-(\f?>~ Al.e-Xl ~~~ ... ~

t'\ (Afl(3)::: (C't;~) (CJ~ '1.) - t.'~ ~ /8

h(f3)= L'tt-V2-~30

Vl/)(J -: .~ ..~ - j;.. ~ ~ 'j : "'''lO (..c

10

1\10. ._------­

Date

Ke C(, t:; () /\

Urh

EJluW±]

No.

Date

~'L

Vie"", (OD&( .... [,~r

(ptf7WI1) I -= Gt: ~ i

\.

<) c-. .... f le. c:;I' uce. <) :: 'J. --t. Ie /11 M 6 ~

1~1 <t ~ £~~~~ (=~ A} cJ;. ~~ i4:J ~ uJ:

Pr(A/O) ~ Pr(AnB) ::: fir (13)

(\ (l3)::; C( 91 1.) - (" ( 1,2)

+­

---t------------------------------ -­

-----

-----~-No.

Date

/'1;; 'j ~ S - ., ., .,. #.'

:; 4. ..... P I~ J'f' 4. (. e S' ~ f-lJ ,,,'"h-I"VI 5 'f l7 f~~p{~

£~X ,4 h Ie/I-- "I B

Pr (~ I",) = Pr ( 'x n~y) ­pr ( X)

1\ ( S ) = 5 J ~ {2-0

\ J\ (X)::;; f\ (n/2,"TO ~();

V\ (XI\'() -= 2'-S,Z"'::' /1-­~

~ ~"S-<- r~m-.., /I', hi "l-Nk S"

c.It.oo~e L gC 1. &3 IJ A~

EZ~ ?: J4 It--~ fJ oS t- fut-t A ~_ ....... -­

Pr(Z/x,) ;r: " ( ')(. f) ~J / " ( x)

A ()(;f)c) 2 '3 ' S ~ 2.. ' I ~ {'i