For a standard normal distribution, determine the following probabilities. a) P(Z > 1.48) b) P(Z > -0.50) c) P(-1.62 sz≤ -0.67) d) P(-1.61 sz≤0.24) Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard r a) P(Z > 1.48)= (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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For a standard normal distribution, determine the following probabilities.
a) P(z> 1.48)
b) P(Z > -0.50)
c) P(-1.62 ≤zs -0.67)
d) P(-1.61 sz≤0.24)
Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard r
a) P(Z > 1.48)= (Round to four decimal places as needed.)
Show Transcribed Text
Cumulative Probabilities for the Standard Normal Distribution (page 1)
-3.0
-2.9
-2.8
-2.7
-2.5
-2.4
-23
-2.2
-2.1
-20
-1.9
-1.8
-1.7
-1.6
-1.5
-1.4
-1.3
-1.2
-1.1
-1.0
-0.9
-0.8
-0.7
-0.6
-0.5
-0.4
-0.3
www
www.
0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 00011 0.0010 0.0010
0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014
0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019
0.0035 0.0034 0.0013 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026
0.0047
0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036
0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048
0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064
0.0107 0.0104 0.0102 0.0009 0.0096 0.0094 0.0001 0.0089 0.0087 0.0084
0.0139 0.0136
0.0132 0.0129 0.0125 00122 0.0119 00116 00113 0.01 10
0.0179 0.0174 0.0170 0.0166 0.0162 00158 0.0154 0.0150 0.0146 0.0143
0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183
0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233
0.0359 0.0351 0.0344
00322 0.0314 0.0307 0.0301 0.0294
0.0446 0.0436 00427
0.0001 0.0392 0.0384 0.0375 0.0367
0.05-48 0.0537 00526 0.0516 0.0505 0.0095 0.0485 0.0475 0.0465 0.0455
0.0668 0.0655 0.0643 0.06.30 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559
0.0808 0.0793 0.0778 0.0764 0.0749 0.0735
0.0968 0.0051
0.0336 0.0329
0.0418 0.0409
0.0721
0.0708
0.0681
0.0823
0.0934 0.0918 0.0001
0.0569
00853 0.0838
0.1151 0.1131 01112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985
0.1357 0.1335 0.1314 0.1292 0.1271
0.1251 0.1230 0.1210 0,1190 01170
0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379
0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611
0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867
0.2420 0.2389 0.2358 0.2327
0.2296 0.2266 0.2236 0.2206
02177 0.2148
0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 02483 0.2451
0.3085 0.3050 0.3015 0.2981 0,2946 0.2912 0.2877 0.2843 0.2810 0.2776
0.3446 0.3409 0.3372 0.3336 0.3300
0.3264 0.3228 0.3192 0.3156 0.3121
0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483
58800
16900
-3.0
-2.9
-2.8
-27
-26
-2.5
-24
-23
-22
-2.1
-2.0
-1.9
-1.8
-1.7
-1.6
-1.5
-14
-1.3
-1.2
-1.1
-1.0
-0.9
-0.8
-0.7
-0.6
-0.5
-0.4
-0.3
COLOR
- X
Transcribed Image Text:For a standard normal distribution, determine the following probabilities. a) P(z> 1.48) b) P(Z > -0.50) c) P(-1.62 ≤zs -0.67) d) P(-1.61 sz≤0.24) Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard r a) P(Z > 1.48)= (Round to four decimal places as needed.) Show Transcribed Text Cumulative Probabilities for the Standard Normal Distribution (page 1) -3.0 -2.9 -2.8 -2.7 -2.5 -2.4 -23 -2.2 -2.1 -20 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 www www. 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 00011 0.0010 0.0010 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.0035 0.0034 0.0013 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.0107 0.0104 0.0102 0.0009 0.0096 0.0094 0.0001 0.0089 0.0087 0.0084 0.0139 0.0136 0.0132 0.0129 0.0125 00122 0.0119 00116 00113 0.01 10 0.0179 0.0174 0.0170 0.0166 0.0162 00158 0.0154 0.0150 0.0146 0.0143 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 0.0359 0.0351 0.0344 00322 0.0314 0.0307 0.0301 0.0294 0.0446 0.0436 00427 0.0001 0.0392 0.0384 0.0375 0.0367 0.05-48 0.0537 00526 0.0516 0.0505 0.0095 0.0485 0.0475 0.0465 0.0455 0.0668 0.0655 0.0643 0.06.30 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0968 0.0051 0.0336 0.0329 0.0418 0.0409 0.0721 0.0708 0.0681 0.0823 0.0934 0.0918 0.0001 0.0569 00853 0.0838 0.1151 0.1131 01112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0,1190 01170 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 02177 0.2148 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 02483 0.2451 0.3085 0.3050 0.3015 0.2981 0,2946 0.2912 0.2877 0.2843 0.2810 0.2776 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 58800 16900 -3.0 -2.9 -2.8 -27 -26 -2.5 -24 -23 -22 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -14 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 COLOR - X
Cumulative Probabilities for the Standard Normal Distribution (page 2)
0.02
0.04
0.01
0.5040
0.03
0.5120
0.5478 0.5517 0.5557
0.5080
0.5160
0.5438
0.5832
0.5871
0.5910
0.5948
0.6217 0.6255
0.6293
0.6331
0.6591
0.6628
0.6664
0.6950
0.6985
0.7019
0.7291
0.7324
0.7357
0.7611
0.7642 0.7673 0.7704
0.7910
0.7939
0.8186 0.8212
0.7967
0.8238
0.7995
0.8264
0.8485 0.8508
0.8708
0.8729
0.8907
0.8925
0.9082
0.9099
0.9236
0.9251
0.9265
0.9370
0.9382 0.9394
0.9484 0.9495 0.9505
0.9582 0.9591
0.9664 0.9671
0.9732
0.9788
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
22
23
24
2.5
26
0.00
0.5000
0.5398
05793
0.6179
0.6554
0.6915
0.7257
0.7580
0.7881
0.8159
0.8413
0.8643
0.8849
0.9032
0.9192 0.9207
0.9332 0.9345
0.9452
0.9554
0.9641
0.8438
0.8461
0.8665 0.8686
0.8869
0.8888
0.9049 0.9066
0.9222
0.9357
0.9474
0.9938
0.9953
0.9463
0.9564
0.9649
0.9713
0.9772
0.9821
0.9861
0.9864
0.9893
0.9896
0.9918 0.9920
0.9573
0.9656
0.9719
0.9726
0.9783
0.9778
0.9826
0.98.30
0.9868
0.9898
0.9922
0.9940 0.9941
0.9955
0.9956
0.9834
0.9871
0.9901
0.9925
0.9943
0.9957
0.05
0.5199 0.5239
0.5596
0.07
0.5279
0.5675
0.5987
0.6064
0.6368
0.6443
0.6700
0.6736
0.6808
0.7088
0.7054
0.7157
0.7389
0.7422
0.7486
0.7734
0.7764
0.7794
0.8023 0.8051
0.8078
0.8289 0.8315 0.8340
0.8531
0.8577
0.8790
0.8749
0.8944
0.8980 0.8997
0.9162
0.9306
0.9429
94070
51160.
0.9599
0.9678
0.5636
0.6026
0.6406
0.6772
07123
0.7454
0.8554
0.8770
0.8962
98960
0.9738
0.9744
0.9750
0.9793
0.9798
0.9803
0.9838
0.9842
0.9846
0.9875
0.9878 0.9881
0.9904
0.9906
0.9927
0.9929
0.9945 0.9946
0.9959
0.9960
0,09
0.5359
05753
06141
06517
0.6879
0.7224
0,7549
0.7852
0.8133
0.8365
0.8389
0.8599
0.8621
0.8810 0.8830
0.9015
0.9177
0.9319
0.9441
0.9545
0.9633
0.9706
60660
0.08
0.5319
0.5714
06103
0.9131
0.9147
0.9279
0.9292
0.9418
0.9406
0.9525
0.9515
0.9608
0.9616
0.9693
0.9756
0.9808
0.9850
0.9884
0.9911
0.9931 0.9932
0.9948 0.9949
0.9961
0.9962
0.6480
0.6844
0.7190
0.7517
0.7823
9018'0
0.9535
0.9625
0.9699
0.9761
0.9767
0.9812 0.9817
0.9854
0.9857
0.9887
0.9890
0.9913
0.9916
0.9934
0.9936
0.9951
0.9952
0.9963
0.9964
2
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
LI
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
22
23
24
2.5
26
Transcribed Image Text:Cumulative Probabilities for the Standard Normal Distribution (page 2) 0.02 0.04 0.01 0.5040 0.03 0.5120 0.5478 0.5517 0.5557 0.5080 0.5160 0.5438 0.5832 0.5871 0.5910 0.5948 0.6217 0.6255 0.6293 0.6331 0.6591 0.6628 0.6664 0.6950 0.6985 0.7019 0.7291 0.7324 0.7357 0.7611 0.7642 0.7673 0.7704 0.7910 0.7939 0.8186 0.8212 0.7967 0.8238 0.7995 0.8264 0.8485 0.8508 0.8708 0.8729 0.8907 0.8925 0.9082 0.9099 0.9236 0.9251 0.9265 0.9370 0.9382 0.9394 0.9484 0.9495 0.9505 0.9582 0.9591 0.9664 0.9671 0.9732 0.9788 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 22 23 24 2.5 26 0.00 0.5000 0.5398 05793 0.6179 0.6554 0.6915 0.7257 0.7580 0.7881 0.8159 0.8413 0.8643 0.8849 0.9032 0.9192 0.9207 0.9332 0.9345 0.9452 0.9554 0.9641 0.8438 0.8461 0.8665 0.8686 0.8869 0.8888 0.9049 0.9066 0.9222 0.9357 0.9474 0.9938 0.9953 0.9463 0.9564 0.9649 0.9713 0.9772 0.9821 0.9861 0.9864 0.9893 0.9896 0.9918 0.9920 0.9573 0.9656 0.9719 0.9726 0.9783 0.9778 0.9826 0.98.30 0.9868 0.9898 0.9922 0.9940 0.9941 0.9955 0.9956 0.9834 0.9871 0.9901 0.9925 0.9943 0.9957 0.05 0.5199 0.5239 0.5596 0.07 0.5279 0.5675 0.5987 0.6064 0.6368 0.6443 0.6700 0.6736 0.6808 0.7088 0.7054 0.7157 0.7389 0.7422 0.7486 0.7734 0.7764 0.7794 0.8023 0.8051 0.8078 0.8289 0.8315 0.8340 0.8531 0.8577 0.8790 0.8749 0.8944 0.8980 0.8997 0.9162 0.9306 0.9429 94070 51160. 0.9599 0.9678 0.5636 0.6026 0.6406 0.6772 07123 0.7454 0.8554 0.8770 0.8962 98960 0.9738 0.9744 0.9750 0.9793 0.9798 0.9803 0.9838 0.9842 0.9846 0.9875 0.9878 0.9881 0.9904 0.9906 0.9927 0.9929 0.9945 0.9946 0.9959 0.9960 0,09 0.5359 05753 06141 06517 0.6879 0.7224 0,7549 0.7852 0.8133 0.8365 0.8389 0.8599 0.8621 0.8810 0.8830 0.9015 0.9177 0.9319 0.9441 0.9545 0.9633 0.9706 60660 0.08 0.5319 0.5714 06103 0.9131 0.9147 0.9279 0.9292 0.9418 0.9406 0.9525 0.9515 0.9608 0.9616 0.9693 0.9756 0.9808 0.9850 0.9884 0.9911 0.9931 0.9932 0.9948 0.9949 0.9961 0.9962 0.6480 0.6844 0.7190 0.7517 0.7823 9018'0 0.9535 0.9625 0.9699 0.9761 0.9767 0.9812 0.9817 0.9854 0.9857 0.9887 0.9890 0.9913 0.9916 0.9934 0.9936 0.9951 0.9952 0.9963 0.9964 2 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 LI 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 22 23 24 2.5 26
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