05- Given a normal distribution with mean of 13 & standard deviation of 2. What is the P(11 ≤ x ≤ 15)? Use Table-1/Table-3 in photos -Given a normal distribution with What is the value of the random variable x if PCs V-0.6985? Use Table-1/Table-3 in photos

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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05- Given a normal distribution with mean of 13 & standard deviation of 2.

What is the P(11 ≤ x ≤ 15)?

Use Table-1/Table-3 in photos

-Given a normal distribution with

What is the value of the random variable x if PCs V-0.6985?

Use Table-1/Table-3 in photos

Table-1: Positive z-table
.00
.01
5000 5040
.5398 5438
.02
.03
.04
.05
.06
.07 5.08
.5080 5120 .5160 .5199
.5239
.5279
.5319
.5636 .5675
.5714
.5557 .5596
.5948
.6026 .6064 .6103
.5987
.6368
.6406 .6443
.6480
.6736 .6772 .6808 .6844
.7157
.7190
7123
.7454 .7486
.7764 .7794
.6293 .6331
.6664 .6700
7019 .7054 .7088
.7389 .7422
.7704 7734
.8023
.8289 .8315
.8531 .8554 .8577 .8599
.8749 .8770 .8790 .8810
.8944 .8962 .8980 .8997
.9131
.8051 .8078
9147 9162
9115
9265
.9279
.9292
.9306
9394 9406
9418 .9429
9505
.9515
.9525
.9535
.9591 9599
9608 9616
9625
.9671 .9678
.9686 .9693
.9699
9738 9744
.9750
9756 .9761
.9793
.9798
.9803 .9808 .9812
9838
9842
.9846 .9850
.9875 .9878
.9881
.9904 19906 .9909
2.4 .9918 .9920
9927
.9929 .9931
9938 9940
.9945
.9946 9948
2.5
2.6 .9953
.9959
.9960
.9961
2.7 9965 19966 9967
9969
.9970 9971
.9978 .9979
29
3.0
28 .9974 9975 .9976
.9977 .9977
9981 9982 .9982 .9983 .9984 9984 9985
9987 9987 .9987 .9988 .9988 .9989 .9989
9991 9991
3.2 9993 .9993 .9994
3.3 9995 .9995 9995
3.
9990
9992 9992
.9994
.9991 .9992
9994 .9994
9996 9996
.9997 .9997
9996
3.4
9997 .9997 .9997
.9997
0.0
0.1
0.2 .5793
0.3 .6179
0.4 .6554
0.5 .6915 .6950
0.6
7257
.7291
0.7
.7580
.7611
0.8
.7881 7910
0.9
8159
8186
1.0
8413
.8438
.8643
1 2 13 14 15 16
1.7
1.8
19
2.0
2.2
2.3
.8849
5478 .5517
.5832 .5871 .5910
.6217 .6255
.6591
.6628
.6985
.7324 .7357
.7642 7673
.7939 .7967 .7995
.8212 .8238 .8264
.8461,
.8485
.8508
.8686
.8708
.8729
.8925
.9082 .9099
.9236 .9251
.9370
9382
9484 .9495
9582
.9664
9732
9783 .9788
9830
9864
9868
9896 .9898
9922
9032
.8888 .8907
9066
9192 9207
.9222
9345
9357
9452
9463
9474
.9554
9564
.9573
9641
9649 .9656
9713 9719 9726
9772
9778
9821
9826
9861
9893
9332
.8665
.8869
9049
.9941
.9955 .9956
9834
.9871
9901
.9925
9943
.9957
.8106
8340 .8365
.7517
.7823
.9962
9972
.9994 .9995
9996 9996
.9997
.9997
.09
.5359
5753
6141
6517
.6879
.7224
.7549
7852
.8133
.8389
.8621
.8830
.9015
.9177
.9319
9441
9545
.9854
.9884 .9887
.9911 9913
.9932 .9934
9949 9951
.9963
.9973
.9979 .9980
9985 .9986
.9989
.9990
9992 9993
.9995
.9996
9997
.9997 .9998
.9633
9706
9767
.9817
9857
.9890
9916
.9936
.9952
.9964
9974
.9981
9986
9990
9993
.9995
Transcribed Image Text:Table-1: Positive z-table .00 .01 5000 5040 .5398 5438 .02 .03 .04 .05 .06 .07 5.08 .5080 5120 .5160 .5199 .5239 .5279 .5319 .5636 .5675 .5714 .5557 .5596 .5948 .6026 .6064 .6103 .5987 .6368 .6406 .6443 .6480 .6736 .6772 .6808 .6844 .7157 .7190 7123 .7454 .7486 .7764 .7794 .6293 .6331 .6664 .6700 7019 .7054 .7088 .7389 .7422 .7704 7734 .8023 .8289 .8315 .8531 .8554 .8577 .8599 .8749 .8770 .8790 .8810 .8944 .8962 .8980 .8997 .9131 .8051 .8078 9147 9162 9115 9265 .9279 .9292 .9306 9394 9406 9418 .9429 9505 .9515 .9525 .9535 .9591 9599 9608 9616 9625 .9671 .9678 .9686 .9693 .9699 9738 9744 .9750 9756 .9761 .9793 .9798 .9803 .9808 .9812 9838 9842 .9846 .9850 .9875 .9878 .9881 .9904 19906 .9909 2.4 .9918 .9920 9927 .9929 .9931 9938 9940 .9945 .9946 9948 2.5 2.6 .9953 .9959 .9960 .9961 2.7 9965 19966 9967 9969 .9970 9971 .9978 .9979 29 3.0 28 .9974 9975 .9976 .9977 .9977 9981 9982 .9982 .9983 .9984 9984 9985 9987 9987 .9987 .9988 .9988 .9989 .9989 9991 9991 3.2 9993 .9993 .9994 3.3 9995 .9995 9995 3. 9990 9992 9992 .9994 .9991 .9992 9994 .9994 9996 9996 .9997 .9997 9996 3.4 9997 .9997 .9997 .9997 0.0 0.1 0.2 .5793 0.3 .6179 0.4 .6554 0.5 .6915 .6950 0.6 7257 .7291 0.7 .7580 .7611 0.8 .7881 7910 0.9 8159 8186 1.0 8413 .8438 .8643 1 2 13 14 15 16 1.7 1.8 19 2.0 2.2 2.3 .8849 5478 .5517 .5832 .5871 .5910 .6217 .6255 .6591 .6628 .6985 .7324 .7357 .7642 7673 .7939 .7967 .7995 .8212 .8238 .8264 .8461, .8485 .8508 .8686 .8708 .8729 .8925 .9082 .9099 .9236 .9251 .9370 9382 9484 .9495 9582 .9664 9732 9783 .9788 9830 9864 9868 9896 .9898 9922 9032 .8888 .8907 9066 9192 9207 .9222 9345 9357 9452 9463 9474 .9554 9564 .9573 9641 9649 .9656 9713 9719 9726 9772 9778 9821 9826 9861 9893 9332 .8665 .8869 9049 .9941 .9955 .9956 9834 .9871 9901 .9925 9943 .9957 .8106 8340 .8365 .7517 .7823 .9962 9972 .9994 .9995 9996 9996 .9997 .9997 .09 .5359 5753 6141 6517 .6879 .7224 .7549 7852 .8133 .8389 .8621 .8830 .9015 .9177 .9319 9441 9545 .9854 .9884 .9887 .9911 9913 .9932 .9934 9949 9951 .9963 .9973 .9979 .9980 9985 .9986 .9989 .9990 9992 9993 .9995 .9996 9997 .9997 .9998 .9633 9706 9767 .9817 9857 .9890 9916 .9936 .9952 .9964 9974 .9981 9986 9990 9993 .9995
Table-3: Negative z-table
-0.1
-0.3
-0.5
-0.6
-0.7
-0.8
-1.2
15
-1.9
-2
21
22
22.5
3.1
3.2
-3.5
3.6
0
50000
46017
42074
38209
34458
30854
27425
24196
21186
18406
15866
11507
09680
08076
06681
05480
04457
02872
02275
01786
01390
01072
00820
00621
00466
003417
00256
00135
00097
00069
00048
00034
00023
00016
00007
0.01
49601
45620
41683
37828
34090
30503
27093
23885
20897
15625
13350
11314
07927
06552
05370
04363
03515
02807
02222
01743
01355
00798
00604
00453
00248
00131
00094
manneauvan
00066
CHORDRICHIDE
000-2
00022
00015
00010
00007
00005
YOKOHORGEROM
LORO COMM222ZOOMO
OHONDZONONGHONOPE
0.02
49202
45224
41294
37448
33724
30153
26763
23576
20611
17879
15386
13136
11123
09342
07780
06-426
05762
04273
03438
02743
02169
01700
01321
01017
00776
PROT-100 F-OR
00587
00440
00326
00240
10-0
00126
CURS
TOTOXICI
THEH
00064
Dement auto
000415
00031
me
500022
TUMUARAt
DOOLS
000 10
00007
100004
00003
0.03
48803
44828
40905
37070
33360
29806
26435
23270
20327
17619
15151
12924
10935
09176
07636
06301
DEDXOTO
DEKOR
FAYAN BOX
05155
04182
03362
LOFOPPI
02680
02118
201659
01287
200990
00755
200570
00427
00317
00233
00169
00122
Diable
0008
00062
354
SEO BH
THIS T
COROMINE
BADZUBAU
00030
1630
AULOLE A CLIC
00021
Pare
REZERTY
00014
METRONGE
00010
Brako
00006
CHILD
00004
00003
SUORINO
31000
ONGKONG
0.04
48405
44433
40517
36693
32997
29460
26109
22965
20045
17361
14917
12714
10749
09012
07493
06178
05050
04095
.03288
02619
02068
01618
PORTPRONO
800964
.00734
00554
00415
00307
00226
00164
00084
00060
1004
DEICH ONE
00029
ISALLAUR
00020
AUSDRU
AUSBLEI
Hal-ChiRDA
00014
000009
.00006
PRORDEN
00004
BIERTAD
00003
Olo Vole Fold RORONG
0.05
48006
44034
40129
36317
32636
29116
25785
22664
19766
17106
14686
12507
10563
08851
07853
0605
04947
04006
03216
02559
02018
01578
01722
00989
696032
00714
ROOGES
00402
100298
00219
00159
00114
Forehona Ripat
00082
Per
10)
00058
00040
00028
00019
00013
1320
1000
1000091
Bran
16 MET
00006
AWALAUST
00003
19H0AD
PARAD
EGEDED
15
KORD WORDS Grocyon
4
0.06
0.07
0.08
47608 47210 46812
43640
43251
42858
39743
39358
38974
135197
31561
28096
24825
21770
18943
16354
14007
11900
10027
08379
06944
05705
PTVEREDED
32276
28774
25463
22363
19489
19215
16853
16602
14457
14231
12302
12100
10383
10204
08692 08534
07215
07078
05938
05821
04846
04746
03920
03836
03144
03074
202500
01970
01191
00695
00523
PASENS
00391
00289
BEORGant
00212
00111
00079
00056
100039
HOTELO
00019
FOLD PERING
00013
DOODH
00006
00004
UNTERO
360 IMG
00002
OYOYO
35569
31918
28434
25143
22065
30U
04648
03754
03005
02385
01923
01876
01500 01463
01160
00889
00676
00508
00379
00280
100205
00149
00107
00076
00054
200026
00018
CONNE
000122
00866
00657
00494
00017
00012
00008
00008
00005 100005
00004
00003
100007
00002
BEDALT
TELES
CO BRUT
UNUMU
U
D0368
00272
00199
00144
00104
00074
00052
00036
00025
0.09
46414
42465
98501
34827
27760
24510
21476
18673
16109
13786
11702
098-3
08226
06811
05592
03673
02938
02330
01831
01426
01101
00842
00639
00357
00264
00193
00100
00071
00050
00035
00024
00017
00011
10008
00005
100003
vel al
00002
Transcribed Image Text:Table-3: Negative z-table -0.1 -0.3 -0.5 -0.6 -0.7 -0.8 -1.2 15 -1.9 -2 21 22 22.5 3.1 3.2 -3.5 3.6 0 50000 46017 42074 38209 34458 30854 27425 24196 21186 18406 15866 11507 09680 08076 06681 05480 04457 02872 02275 01786 01390 01072 00820 00621 00466 003417 00256 00135 00097 00069 00048 00034 00023 00016 00007 0.01 49601 45620 41683 37828 34090 30503 27093 23885 20897 15625 13350 11314 07927 06552 05370 04363 03515 02807 02222 01743 01355 00798 00604 00453 00248 00131 00094 manneauvan 00066 CHORDRICHIDE 000-2 00022 00015 00010 00007 00005 YOKOHORGEROM LORO COMM222ZOOMO OHONDZONONGHONOPE 0.02 49202 45224 41294 37448 33724 30153 26763 23576 20611 17879 15386 13136 11123 09342 07780 06-426 05762 04273 03438 02743 02169 01700 01321 01017 00776 PROT-100 F-OR 00587 00440 00326 00240 10-0 00126 CURS TOTOXICI THEH 00064 Dement auto 000415 00031 me 500022 TUMUARAt DOOLS 000 10 00007 100004 00003 0.03 48803 44828 40905 37070 33360 29806 26435 23270 20327 17619 15151 12924 10935 09176 07636 06301 DEDXOTO DEKOR FAYAN BOX 05155 04182 03362 LOFOPPI 02680 02118 201659 01287 200990 00755 200570 00427 00317 00233 00169 00122 Diable 0008 00062 354 SEO BH THIS T COROMINE BADZUBAU 00030 1630 AULOLE A CLIC 00021 Pare REZERTY 00014 METRONGE 00010 Brako 00006 CHILD 00004 00003 SUORINO 31000 ONGKONG 0.04 48405 44433 40517 36693 32997 29460 26109 22965 20045 17361 14917 12714 10749 09012 07493 06178 05050 04095 .03288 02619 02068 01618 PORTPRONO 800964 .00734 00554 00415 00307 00226 00164 00084 00060 1004 DEICH ONE 00029 ISALLAUR 00020 AUSDRU AUSBLEI Hal-ChiRDA 00014 000009 .00006 PRORDEN 00004 BIERTAD 00003 Olo Vole Fold RORONG 0.05 48006 44034 40129 36317 32636 29116 25785 22664 19766 17106 14686 12507 10563 08851 07853 0605 04947 04006 03216 02559 02018 01578 01722 00989 696032 00714 ROOGES 00402 100298 00219 00159 00114 Forehona Ripat 00082 Per 10) 00058 00040 00028 00019 00013 1320 1000 1000091 Bran 16 MET 00006 AWALAUST 00003 19H0AD PARAD EGEDED 15 KORD WORDS Grocyon 4 0.06 0.07 0.08 47608 47210 46812 43640 43251 42858 39743 39358 38974 135197 31561 28096 24825 21770 18943 16354 14007 11900 10027 08379 06944 05705 PTVEREDED 32276 28774 25463 22363 19489 19215 16853 16602 14457 14231 12302 12100 10383 10204 08692 08534 07215 07078 05938 05821 04846 04746 03920 03836 03144 03074 202500 01970 01191 00695 00523 PASENS 00391 00289 BEORGant 00212 00111 00079 00056 100039 HOTELO 00019 FOLD PERING 00013 DOODH 00006 00004 UNTERO 360 IMG 00002 OYOYO 35569 31918 28434 25143 22065 30U 04648 03754 03005 02385 01923 01876 01500 01463 01160 00889 00676 00508 00379 00280 100205 00149 00107 00076 00054 200026 00018 CONNE 000122 00866 00657 00494 00017 00012 00008 00008 00005 100005 00004 00003 100007 00002 BEDALT TELES CO BRUT UNUMU U D0368 00272 00199 00144 00104 00074 00052 00036 00025 0.09 46414 42465 98501 34827 27760 24510 21476 18673 16109 13786 11702 098-3 08226 06811 05592 03673 02938 02330 01831 01426 01101 00842 00639 00357 00264 00193 00100 00071 00050 00035 00024 00017 00011 10008 00005 100003 vel al 00002
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