+ qx
=
JosPxMx +s dS
e SoMx
+s dS
+ Px =
+ Px + +qx = 1
++
SPxPx .
SPct
tPx =
(x
x - (x + +
+ 9x
= 1 -
+ Px =
LSC
Ma-himon n
lim It
=>
se
let
-him
--ick
=-
n((x)
dx = (x -
(x + 1
qx
=
(x -(a +n = dx + dx + 1 + ... dx + n -
1
(x = dx + do+ + ... + dw -
1
Lifetime random variables
+ 9x = P(TxSt] =
SosPMads
tPx =
P([xyt)
*
E(Tx] =
So +x + PxMo+ +dt
-
S. Pat = Es
g
Note : or tPx=(1-19x) =-
EPoMot
Kx =
(Tx)
E(1x] =
2 ,ok KPc9x +1 .
=
[Px =
Ex
Ex = Ex E -
Ta Kol
,
,