5.27
5.29
and are independentCHAPTER 6
6.3
6.5
6.8
6.10
6.12
6.14
6.17
6.26
6.28
6.30
6.32
384 Fundamentals of Probability and Statistics for Engineers
fY
y3 y^2
1 y^4; fory 00 ; elsewhere8
><
>:
fR
r;r
2 ^2
er(^2) = 2 2
; forr 0 ;and
0 ; elsewhere
fR
rr
^2
er(^2) = 2 2
; forr 0
0 ; elsewhere
f
1
2
; for0 ; elsewhere8
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:
R
a) 0.237, b) 3.75
0.611, 4.2a) 1Xmk 0n
kpk1p)nkb)Xnkm 1km)n
kpk1p)nk0.584
sXr 1krk 1
r 1pr1p)kr0.096
a) 0.349, b) 5
0.93
1 : 4 10 ^24
pXk) 22 : 5 ke^22 :^5 /k!,k0, 1, 2,...pk0,t)tv
wk
exp tv/w)
k!,k0, 1, 2,...