ay d *
C a n g
H o n a D t b i a
e
hoe disusse
in
+he
CrdiHur
esn
praba
FE
A
I
is
on
evert
A= yL
nun 2en
B wth
fn eny vert
evressun
This is the
Te connespordl ng
prubchlity»
dsburen
cindtIne
Fn
Cindlt 0ma d t y
Funitiun
2riabe
tAN
the
s
epneiun
fun
ns
Sect1un,
aeorel
nardn
P E 2S
in everA
one
even B
the
Functin
two
vaniabe
functiuy ane
thaovh
evned
aetinati
suhsde
tu
*
ine
eat
JenHy-nt n-btioing
a
menestd
ndunal Dgubudiu
ue ame
pnsben,
dHen in praghical
vapiable X
funct ton of
one
fhee
cond1tOned by the far
y.
Some Spetic vadue
nandon
has
yaninhle Y
nandom
a serond
COndtioning
This is called pont
We
harolle this
can
Nee
that
smal quantity
Ay a
(y-
DXCNete
AsuMe X
pnablem by definny
we
StAY
Ay
<
S
YsA) =y-AY=*
event B
by
eventuolly
let
y,)g
ond
Yang toth
discree nahdlam
wth
uiNaber
respecHivey
and ,J=)2,3, --"M,
i , i1,?s--Ocrumane
pnobablity of joint
f
j
and Y;
is denmte
M
Sy9)EPLL)S{>)
y
Now
ppoanh
E)SHE)
valus
Te
in
Sup pae
the speiFic
vakue oF
of interest is
Fx
y ) PJ)u(-M.)
S(Y=) =
1
PCi,) slx-wi)
Ny
Codi tiona
is
E
isHabuh gnd DeSty- Inteual_onditonie
B
whene
s
Ja < Y<4}
Ya and
PO)=
(
to defme 8
Sometines conveNiEN
ane
nea numbers
#0
<3,}
ya<Y
PS
aYs3)
=
Fayl-Fx,y(
Fy)-yGa)
FCwlsYs-
Sxyy(MD dndy
Sa
Sx,y)dy
a