Solutions Manual to Random Phenomena: Fundamentals of Probability and Statistics for Engineers (1st Edition) by Ogunnaike

0




0

,6789 
  
 

 7



888
 7 !8
"# 7 #$ 
9 !%  8
3(4 ) '*+
3 -./
,4 )
&' %7 %   $ 780
# 8  782

'

0
( 8
&$8
" &
 8

#  8
17 7#8 8
#%7
"28
8 8
"#3454(, 7% 7 #"

%
:;<<=>?@AB>@CD
EDFGHIJKFLMNIOPFQDRKISNOPTUDVHJTD
EDL[\]NIHG^ X_`aD
bLcDNO]H^ X_YdWD
eDHNF^ W_XfYaD
[TMHg^ W_W`XXD
cDNIPNFhH^ ii_X``iD
[jHkDFHJJDDDDDDLX_illWYX^
m]ITKJPJ^ LX_fdYfilD
^
R^ dXD
eDPFPS]S^ Ld_iai`D
iJTDnD]NITPOH^ i_XZalD
eDHGPNF^ `_lZiYD
LWD XD WD YD ZD
WIGDnD]NITPOH^ d_`dXiD
eDNoPS]S^ Z_iiiiD
ZdpDqDKFrPGHFhHDsFTHIgDNODrKIDeDHNFD
`_iXW`D W_ZZXWD
ZdpDqDKFrPGHFhHDsFTHIgDNODrKIDeDHGPNFD
i_lZXlD f_`ZZiD
ZdpDqDKFrPGHFhHDsFTHIgDNODrKID[TMHgD
t@u@v @@wBxAyCzx{z@|x}z>@~=€D `_aaWWD f_iWaiD
eHNF^ ^^ ^
^
eHGPNF^ ^^ ^
`_XD `_dD W_XD W_dD f_XD f_dD


#" 67#8&
)8(98,
88%7"9 9
7  8


 "


,5
65 789 55
5
55555

5
55 !55

5"5#$%5 &'5
9!5!(555

55)
5!5*5+

55
),-55.95-5 5
5!5./558(
5!,+
5

!50+55+515!!5
 ,-5
5
234
5,-51555!5 ,55!5565(5 !5-
95"57%%685
-
/5"5
7669785!50
"56$%8565"57:959,5,-5155 ,51511!5
5 2
5

!5156565(5 !;5
5"5#$%85(
565"5$65!5
3

<75
+5
!5+
5155!5

5 65=5-
155 65"5-
95
/655

!5
:"5 >5/5
5!5155)!5-595 55155
!50+,-55
,5.95+5 5),,-5!)!!515./5555
!5
(!5.95!5./55),-5*55?,55-5 5+5155
+,5!5
 ,555!5,(-5,-555(55 5
5
!,56)!5( 655"5569555>
5
,655!5,,55551,,(;5
/5=569/5 &6'5
(59/5555
!5(!5-955!5-/55&57)595!5
6'55@!55)+,555
!5(!55-955!5-/555
5)+55
9/5"5=$:65755
A 
555
,+5)+513
5 &$6'55 !5-5!
5
5655>56555!505&6'5 =69/5
95 /5
5
B!565
23C
555!5 ,565!5564
565"5
65
23D
@!555(56

5"5$65!5
!565"565
!5+
55
!+E555!56,-50+,5(!5,4
515!5
!5-5
))555,5!+
5+

!
55),-55F5-5!515
55!5!5
 ,5
5
B!5#5
23G
5
5 !5(5 !5*515$7%5(!5 ,(5
!!5$5 !515.95
+5H5!5155
515
55!55
65!595!515./5
+55!5!5
565!55655!(5

5(55 55,5 +55
!,51+5),-5
155555!,,-5+!!
5?!55!5*55
6)!556$5!
55,
,-511!5

,0
10
0
0
0
0 ;<:
#$%&'()*+,'-,./,01$2,%$34,56789:

0 :
;=:

0
:
;>:
:
0 ;?:
:


I)4JK42LM:
0
;@:
:
<:
0 :
=:
0
:
>:

0
:
?:
:
0 @:
A?B@: ACBD: ADB@E
./:
A=BD: A<B@: AFBD:

0 #$%&'()*+,'-,.1,01$2,%$34,56789:
0 =:
0 ::

0 D:
:

0
:
>:
I)4JK42LM:




:
0 C:
::
0 ?:
0
::
;:
0 ::

0
@:
=ABDE =FB@E A@BDE A?B@E ACBDE ADB@E A=BDE A<B@:
.1:
0
234567089 0034606000003003
03
70
9!"0
0
0
0 #$%&'()*+,'-,./,01$2,%$34,G659:
0 ?D:
0
:
:

0 ?@:
:
0
:
;D:
I)4JK42LM:




0
:
:;@:
0 :
:
0 D:
0
:
:

0
@:
A?: A>: A=: A<: <@:
#$%&'()*+,'-,.10./:
1$2,H$34,G659:
0 ;>:
0 :;?:
0 :;@:
0 :<:
I)4JK42LM:




0 :=:
0 :>:
0 :?:
0 :@:
0 =A: =F: A;: AC:
.1:
AD: AA: AF:

0
23456708910 34606000030647603
03
70
9"0

,0
10 2345678090
0 0 006  0 0000 0
00
400 
0
00

0!"0
#000#0 0 000$0 000
0
 0
0 %&'(6 0)$ 0*$
000
00+,40 
040*+0 00

0)
   0$0+0
#0+
4 ,40
$-090
 ./06
4#
0
0

0
9
2000-00190#
050#010109#

 0102
26!0*
0 030
0
000#00
5$

0*00!00 0*0009
970
600 
0
!00 0*0001
97.
6006 $#00) 0 0
./8000
 0
0 %&9(300
0
#00)00#0+,0-09./ 0#00010-0
19#0
1100/06/#0011!00306 0910005#00 0**5 +0

60*000005$
0000*000
971
60!0
6 $ #00) 00 0**5 +0./8000
 0
0 %&:(306 0910005#00 )0 00)04$+0

0050;01006622"0 0 
0050;0
006690
0
60 06 0* 00 00)04$+0 
0
050<020;066
603#00)$0050$ 0 0+0
8000
0
5
00)$0050;020
0 %&%=(> 0?0;0

00
0@0;0912#000)$ 0*$
0
00$00740920005#00+0;00#02#0000#0.!00 0
00000000 *
0)04$+0
)$006 09200050
00
0 0 6  0 8)0 0





400A$*0 +0 0
+!0 34$+0
9
9B0
6000 66910 6600
0
9B2
6020 66
.0 6610
2
9B1
6010 69
.0 6910
1
9B

60
0 60/90 6210


9B/
60/0 60/10 6910
/
9B
600 69/20 69/0

9B1
6010 66/00 6960
1
9B.
60.0 66910 6600
0 0 0 0
6C64D0
60 6../0 9660
0 6 0 0000) $ 0 
00)0
4$+00 B0  0$00*0
99906 0000?0;0010
0@0;00/0
00+0;0/#0/1#0/.#0000#0
.#00000 0000
0
0000
0B0 *
0)04$+0) $ 006 091000
5!0

,0
10
0 0 0 65 0   0 0




2300456780 90  090 57 90
1


10
0  0  0

1

!10!0 "#0 0
!1

#10#0 0 !0
#1


10
0 #
0 
0

1



10

0 
10 $0


1


10
0 
$ 0 
$0

1


"10
"0 
$ 0 !0

"1


$10
$0 
$0 
0

$1


110
10 #10 
0

11


10
0 $0 
0

1



10

0 "!0 0


1


!10
!0 
#0 $0

!1


#10
#0 #0 0
0 0 0 0
% &'0 10 #!0
0
0
50(05(6)0*5 + 0) , 0 0 65 07 (0-0 0
5 057 90
0
./.012(*03040
 50 0 65 07 (060 0760 0673060
80
$00 0 600604050
5050000050( 6,00 0)0) 6,0
6*0, 0 0655(86-*05 057 907 (056+0)0
10
0 0 60
0
0 65 0   00




90  673040
 0 57 90
0
0 "0 "
0

0 "
!0 "!"0
0 
!
0 
!"0
"0 "!0 

0
$0 
"0 ""0
10 ""0 

0
0 0 0
0 0 0
% &'0
0
0
0
0*5 + 0) , 0 0 65 0 0
60-0 0-05 0
57 90(05(6)0 (08-0,(086 -00*0
060 0 60
0
0
&8 860:56)+(0
./.;10 066,*0(06 0,9060*  5 0057 90-(5)760
650 (0-<0

,0
10 2345678090
0 0
0 80 0




0 0 0
90
0 

0
9
0 0 910

9
0 990 9 0

90 0  
0
9990 90 99!0
99990 0 910
999
0 0 
0
9
99
0 10 
0
9
990 10 
0
9990
0 
0
990 90 9 0
9
0 90 9 0
0 0 0
6"64#0 !
0 0
0
6$0$%&'(0%'0)&(0$%0)0*%+&0%0%$&,0+&,0
,$0,0&+%0$00%0%-,*0&0$0'$0./(/&%*0&0$0
$%&'(0%00$&0'((0*%+&00,$$0)%0$0*00
,06$0+00%&00(&/+&00%0120&'00
1+20&&%00*0120$%0$0/&0&0+00'0(+01)00
//0'&%0$&'$0%0%&%0+)&00%0)0/*00&0
)0$0,%00*00&(/'0$0,%00$0)%0/20
30%0$)&0&0%/%'0$0$0$%&'(0,0+0%-,*0&0$0
'$0%0%$&,0
0
0 PQRSTUVWXYTZY[E
0 \B]]BE
0 LNE @ABCDEEFGHIIE
0 @JBKDEEEELGMFNE
OE MHE
0
0 ^HE
0
aVbcdbefgE




0 ^NE
0
0
0 HE
0
0 NE
0 NE _E ME ^LE ^`E
[E
LNE L_E
0
0
'09
4003%&'(0)&0(&/+&0*0
0
120 &(0$%0)0*%+&0*0$0$%&'(00,0%0$0$0
56&%07879:;<=0(&/+&0%00$0'0)&(0
0(&$%0
1*00!0(&$%2>0)&(0$00)0%00,0&0$0

9?!
0&0
! 0%0$0

,0
10
0
2345678908206 04 306460688089 3064906706807 0
0
700 8608206 0 76834028306 0


4 04 34 0!70
 9 346"04 0 3 537 "070 8#907906 068 049 08206 02730 8#0
$ 098606 094338# 30349 0855 7"0!0670"4640 604 0# 04 0760
830 ! 6375094630% 3
07 8 "0890670 7683407040
6 836754098340"763767890"763767890
&''(07683408206 04 34 08204 34 0)7070 8#907906 086680
49 08206 02730* 0+,- .,/01/20797275496!094338# 06 0349 0820
6 0"464049"04804 06 0"4640 608 # 460830! 63750
0
0
0
0 NOPQRSTUVWRXWYB
0 LZ[\@]B
0 CFB >?@ABBBBBCDECFB
0 ^ GHI?JBBBDEKDKKB
LB KMB
0 CDB
^
0
0 KB
eTfghfijYB




^
0 _B
0 ^
0 ^
`B
0 FB
0 ^^
0 DB
0 KEM^ aED^ aEMB CDED^ CDEMB CCED^ CCEM^ CFEDB
YB
0
0 NOPQRSTUVWRXWdB
0 LZ[\@]B
0 FDB >?@ABBBBBCDEbKB
0 GHI?JBBBDEcC`KB
LB KMB
0
0 CMB
0
eTfghfijYB




0 CDB
0
0
0 MB
0
0 DB
0 aEDB aE_B CDEFB CDEKB CCE`B CFEDB

0
dB

3730456007768340283067
68
75467890"4640
0 870 34 09 30820426!07957" 960 30896 09:0;0
5

<06 0
4 85746"0437495 0
0;0
5440* 023= 95!064070 8#90 8#60

,
 


!"#
   !'-./01' 




$ %&'()'*+,%&'()'*+,
2 32 2#456
" "5 2#562
5 4 2#"56
3 2 2#222
  
7
8 9 "#222


:'&';)-/0*<:0;/=<&.>0;;:=?*@'-=?#


 012345678 4 7 31 32



  





[6\]  









  



  
 
  
 7 31 32

%0<)&'"#4A
0;/=<&.>B=&;.B'/,0*+0C'*/;C./.

 DEEFGH/0;&'.;=*.@-'/=+=*;0C'&/:'&'-./01'B&'()'*+,=B=++)&&'*+'=B
/:';.B'/,0*+0C'*/;.;.*.++'I/.@-'>'.;)&'=B/:'JKLMNKOPQ=B
=@/.0*0*<'.+:0*C0+./'C*)>@'&=B=++)&&'*+';A;0*+'B&R2ST
2#456UB&R"ST2#562UB&R5ST2#"56UB R3ST2#222TB
& R9STB&R6SU
&
/:';'>.,/:'*@'+=*;0C'&'C.;&'.;=*.@-'';/0>./';=B/:'
+:.*+';=B=@;'&10*</:'0*C0+./'C=++)&&'*+';#
DEEEFG%&=>/:'I=;/)-./'C>=C'-A

 B
RVS
'W2#62#6V
T VX 






?'=@/.0*/:'B=--=?0*</.@-'?:0+:;:=?;/:'/:'=&'/0+.-I&=@.@0-0/,=B
=++)&Y&'*+';0C'Y@,Y;0C'?0/:/:'&'-./01'B&'()'*+,C./.Z0/0*C0+./';
/:.//:'>=C'-.+/).--,B0/;/:'C./.()0/'?'--#


, THOSE WERE PREVIEW PAGES

TO DOWNLOAD THE FULL PDF

CLICK ON THE L.I.N.K

ON THE NEXT PAGE