or f
=
and =X
↑ Row permutation
non? 3? mes
WD
3
>
if:
1, 7 It)
is
an
increasing
fan oft,
which mens thatthe componentwill
experience
B <1, ECH)
and
hence
wear
is
the
harters over
a
over
time.
decreasing
fan of t
componentstrengths
circle
permutation
I
or
time.
↑
Ex:
Combinations
n
k, Hz
=
+
..
+
-
412
+
.
Probability
Rule 7.3
P(A) Y/N
=
P(A) P(A1) 1 P(s) 1
=
=
=
+
IndependentEvents
P(S)
=
&
probability
Recall P(A1B) P(BA)
=
=
P(B(A) P(B) P(A/B (
=
contineous
-
Bayes:
Discrete
Rule
-
I
S
E)
-
cumulative dis
-
ChieDistribution
((xir)
(32) are isinteger
=
Chi2-Dis
meanm=
V
variance 0
=
2
ZV
=
I ↑
Ex:
Weibull
Dis
weibrin
function
for 30
and B >0
EEx
I
-
-
respectively.
Discrete
contineous
f(oi f(1) + f(z) 1.0
+
=
Joint Prob
-
-
Hypergeometric
x
·
↳
binomialBorins
Erbnpstab
Trials
required
are not
independent
InFreitaset
example
&
Bernoullitrials
are
independent.
I
7
ltinomial
Example
be
to
constant
I
inmix epi
fIx,, x2, 41;4P ...pi) (m,
I
-
p-remains
-
mi) P, "Pa"...p"
(n)
ninein
mini
Lariation
=
...
...,
-
1
-
0-
M
Table
A.2
-
Thprelatgeneenergetin
in
P(X)x) exx
=
P10X x) 1
=
Samma
A. 23
-
)re
f(x) x 2
=
=
-
ex
x
x
5
=
e*)+=e8/4.2
P(T8) =
=
-
/exponential
Dist