III iiiiesarmr.utawsfh.az rejen In pxlxh f.tn O O W x _In iejen - - PDF document
Random Variables Continuous Discrete Randurans r prob space p in IR Range integuvalued Xi I e.g Pr X p lxl FXlxl pmf PxCxi i Pr XE FxH CDI F Fx Xia p Cxi xi In I to model contra we want that Suppose t takes in that
Continuous
Random Variables
Discrete Randurans r
p
prob space
Xi
I
IR
e.g
integuvalued
Range
in
pmf
p lxl
Pr X
FXlxl
i
PxCxi
CDI
FxH
Pr XE
p Cxi
F
xi
Fx Xia
In
I
Suppose
that
we want
to model
contra
that
takes
values
in
0,1
t
iiiiesarmr.utawsfh.az
pxlxh f.tn
In
rejen
O
O W
Fx
x _In
excitht
iejen
nm
exam
II
n d
I
x
I lim
h
Px
O
fx f
p.m.f.doesnltmakesu.se
instead
use
probability density fn
f lx
f Cxl
F
Cx Discrete
FXH
i
PxCxi
FX
x
f
dx
pxlxitfxlxil fxlxi.it
Properties
cdx
exit I
I
F
x
is
monotone 9
from o
to 1
f
x
so
fCx7
D
Jfk dx
e
to
Prf
a b
dx
EH
J fHdx
Efx
E
xpfx
F
GLX
Efg
Cx
Egcxsp cx
x cRage
X
contr
nu
f
x
c
4
2
2
Osx
2 O
O W
what is
c
2 2x x2 dx
I
2
31
244 E 841 3
85
3
3g
PRIX 21
fCx dx
Zg 4x 2x7dx
F
X
xHx dx
x3gf4x 2 2
dx