Cumulative standardized normal distribution table (page 1) 0 Cumulative standardized normal distribution table (page 2) Cumulative Probabilities Cumulative Probabilities z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.0 0.00135 0.00131 0.00126 0.00122 0.00118 0.00114 0.00111 0.00107 0.00103 0.00100 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 -2.9 -2.8 0.5279 0.5319 0.5359 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.0026 0.0025 0.5636 0.5675 0.5714 0.5753 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.5 0.6915 0.6950 0.6985 -2.4 0.0082 0.0080 0.7019 0.7054 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7518 0.7549 0.7 0.7580 0.7612 0.7642 0.7673 0.7704 -2.2 0.0139 0.0136 0.0132 0.7734 0.7764 0.7794 0.7823 0.7852 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 0.9 -2.0 0.0228 0.0222 0.0217 0.8159 0.0212 0.0207 0.0202 0.0197 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.0192 0.0188 0.0183 0.8365 0.8389 -1.9 0.0287 0.0281 0.0274 1.0 0.0268 0.0262 0.0256 0.0250 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 0.0244 0.0239 0.0233 -1.8 0.0359 1.1 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.8643 0.8665 0.0307 0.0301 0.0294 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 -1.6 0.0548 1.3 0.9032 0.9049 0.0537 0.9066 0.9082 0.9099 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.9115 0.9131 0.9147 0.9162 0.9177 0.0455 -1.5 0.0668 0.0655 1.4 0.9192 0.0643 0.0630 0.0618 0.0606 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.0594 0.0582 0.0571 0.0559 0.9319 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.0735 0.9394 0.9406 0.9418 0.9429 0.9441 0.0721 0.0708 0.0694 0.0681 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 -1.2 0.1151 1.7 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.1020 0.1003 0.0985 0.9616 0.9625 0.9633 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 1.8 0.9641 0.1190 0.1170 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 -1.0 0.1587 1.9 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.9713 0.9719 0.9726 0.1401 0.1379 0.9732 0.9738 0.9744 0.9750 0.9756 0.9699 0.9761 0.9767 0.9706 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 2.0 0.1635 0.1611 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 2.1 0.1894 0.1867 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 -0.7 0.2420 0.2388 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 2.3 0.2482 0.2451 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4286 0.4681 0.4641 0.4247 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.99865 0.99869 0.99874 0.99878 0.99882 0.99886 0.99889 0.99893 0.99897 0.99900 Entry represents area under the cumulative standardized normal distribution from - ∞ to Z. Entry represents area under the cumulative standardized normal distribution from - ∞ to Z. Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d) below. Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. ... a. What is the probability that Z is between - 1.59 and 1.88? The probability that Z is between - 1.59 and 1.88 is ☐ . (Round to four decimal places as needed.) b. What is the probability that Z is less than -1.59 or greater than 1.88? The probability that Z is less than -1.59 or greater than 1.88 is (Round to four decimal places as needed.) c. What is the value of Z if only 1% of all possible Z values are larger? The value of Z if only 1% of all possible Z values are larger is (Round to two decimal places as needed.) d. Between what two values of Z (symmetrically distributed around the mean) will 98.36% of all possible Z values be contained? The two values of Z for which 98.36% of all possible Z values are contained between are (Use ascending order. Round to two decimal places as needed.) and
Cumulative standardized normal distribution table (page 1) 0 Cumulative standardized normal distribution table (page 2) Cumulative Probabilities Cumulative Probabilities z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.0 0.00135 0.00131 0.00126 0.00122 0.00118 0.00114 0.00111 0.00107 0.00103 0.00100 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 -2.9 -2.8 0.5279 0.5319 0.5359 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.0026 0.0025 0.5636 0.5675 0.5714 0.5753 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.5 0.6915 0.6950 0.6985 -2.4 0.0082 0.0080 0.7019 0.7054 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7518 0.7549 0.7 0.7580 0.7612 0.7642 0.7673 0.7704 -2.2 0.0139 0.0136 0.0132 0.7734 0.7764 0.7794 0.7823 0.7852 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 0.9 -2.0 0.0228 0.0222 0.0217 0.8159 0.0212 0.0207 0.0202 0.0197 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.0192 0.0188 0.0183 0.8365 0.8389 -1.9 0.0287 0.0281 0.0274 1.0 0.0268 0.0262 0.0256 0.0250 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 0.0244 0.0239 0.0233 -1.8 0.0359 1.1 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.8643 0.8665 0.0307 0.0301 0.0294 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 -1.6 0.0548 1.3 0.9032 0.9049 0.0537 0.9066 0.9082 0.9099 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.9115 0.9131 0.9147 0.9162 0.9177 0.0455 -1.5 0.0668 0.0655 1.4 0.9192 0.0643 0.0630 0.0618 0.0606 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.0594 0.0582 0.0571 0.0559 0.9319 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.0735 0.9394 0.9406 0.9418 0.9429 0.9441 0.0721 0.0708 0.0694 0.0681 -1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 -1.2 0.1151 1.7 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.1020 0.1003 0.0985 0.9616 0.9625 0.9633 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 1.8 0.9641 0.1190 0.1170 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 -1.0 0.1587 1.9 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.9713 0.9719 0.9726 0.1401 0.1379 0.9732 0.9738 0.9744 0.9750 0.9756 0.9699 0.9761 0.9767 0.9706 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 2.0 0.1635 0.1611 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 2.1 0.1894 0.1867 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 -0.7 0.2420 0.2388 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 2.3 0.2482 0.2451 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4286 0.4681 0.4641 0.4247 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 0.99865 0.99869 0.99874 0.99878 0.99882 0.99886 0.99889 0.99893 0.99897 0.99900 Entry represents area under the cumulative standardized normal distribution from - ∞ to Z. Entry represents area under the cumulative standardized normal distribution from - ∞ to Z. Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete parts (a) through (d) below. Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. ... a. What is the probability that Z is between - 1.59 and 1.88? The probability that Z is between - 1.59 and 1.88 is ☐ . (Round to four decimal places as needed.) b. What is the probability that Z is less than -1.59 or greater than 1.88? The probability that Z is less than -1.59 or greater than 1.88 is (Round to four decimal places as needed.) c. What is the value of Z if only 1% of all possible Z values are larger? The value of Z if only 1% of all possible Z values are larger is (Round to two decimal places as needed.) d. Between what two values of Z (symmetrically distributed around the mean) will 98.36% of all possible Z values be contained? The two values of Z for which 98.36% of all possible Z values are contained between are (Use ascending order. Round to two decimal places as needed.) and
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Cumulative standardized normal distribution table (page 1)
0
Cumulative standardized normal distribution table (page 2)
Cumulative Probabilities
Cumulative Probabilities
z
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
Z
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
-3.0
0.00135
0.00131 0.00126
0.00122
0.00118
0.00114
0.00111
0.00107
0.00103 0.00100
0.0
0.5000
0.5040
0.5080
0.5120
0.5160
0.5199
0.5239
-2.9
-2.8
0.5279
0.5319
0.5359
0.0019
0.0018
0.0018
0.0017
0.0016
0.0016
0.0015
0.0015
0.0014
0.0014
0.1
0.5398
0.5438
0.5478
0.5517
0.5557
0.5596
0.0026
0.0025
0.5636
0.5675
0.5714
0.5753
0.0024
0.0023
0.0023
0.0022
0.0021
0.0021
0.0020 0.0019
0.2
0.5793
0.5832
0.5871
0.5910
0.5948
0.5987
0.6026
0.6064
0.6103
0.6141
-2.7
0.0035
0.0034
0.0033
0.0032
0.0031
0.0030
0.0029
0.0028
0.0027 0.0026
0.3
0.6179
0.6217
0.6255
0.6293
0.6331
0.6368
0.6406
0.6443
0.6480 0.6517
-2.6 0.0047
0.0045
0.0044
0.0043
0.0041
0.0040
0.0039
0.0038
0.0037
0.0036
0.4
0.6554
0.6591
0.6628
0.6664
0.6700
0.6736
0.6772
0.6808
0.6844
0.6879
-2.5 0.0062
0.0060
0.0059
0.0057
0.0055
0.0054
0.0052
0.0051
0.0049 0.0048
0.5
0.6915
0.6950
0.6985
-2.4
0.0082
0.0080
0.7019
0.7054
0.0078
0.0075
0.0073
0.0071
0.0069
0.0068
0.0066 0.0064
0.7088
0.7123
0.7157
0.7190
0.7224
0.6
-2.3
0.0107
0.0104
0.0102
0.0099
0.0096
0.0094
0.0091
0.0089
0.0087 0.0084
0.7257
0.7291
0.7324
0.7357
0.7389
0.7422
0.7454
0.7486
0.7518
0.7549
0.7
0.7580
0.7612
0.7642
0.7673
0.7704
-2.2
0.0139
0.0136
0.0132
0.7734
0.7764
0.7794
0.7823
0.7852
0.0129
0.0125
0.0122
0.0119
0.0116
0.0113 0.0110
0.8
0.7881
0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8078
0.8106
0.8133
-2.1 0.0179
0.0174
0.0170
0.0166
0.0162
0.0158
0.0154
0.0150
0.0146 0.0143
0.9
-2.0 0.0228
0.0222
0.0217
0.8159
0.0212
0.0207
0.0202
0.0197
0.8186
0.8212
0.8238
0.8264
0.8289
0.8315
0.8340
0.0192
0.0188 0.0183
0.8365
0.8389
-1.9 0.0287
0.0281
0.0274
1.0
0.0268
0.0262
0.0256
0.0250
0.8413
0.8438
0.8461
0.8485
0.8508
0.8531
0.8554
0.8577
0.8599
0.8621
0.0244
0.0239 0.0233
-1.8 0.0359
1.1
0.0351
0.0344
0.0336
0.0329
0.0322
0.0314
0.8643
0.8665
0.0307
0.0301 0.0294
0.8686
0.8708
0.8729
0.8749
0.8770
0.8790
0.8810
0.8830
-1.7 0.0446
0.0436
0.0427
0.0418
0.0409
0.0401
0.0392
0.0384
0.0375 0.0367
1.2
0.8849
0.8869
0.8888
0.8907
0.8925
0.8944
0.8962
0.8980
0.8997 0.9015
-1.6 0.0548
1.3
0.9032
0.9049
0.0537
0.9066
0.9082
0.9099
0.0526
0.0516
0.0505
0.0495
0.0485
0.0475
0.0465
0.9115
0.9131
0.9147
0.9162
0.9177
0.0455
-1.5 0.0668
0.0655
1.4
0.9192
0.0643
0.0630
0.0618
0.0606
0.9207
0.9222
0.9236
0.9251
0.9265
0.9279
0.9292
0.9306
0.0594
0.0582
0.0571
0.0559
0.9319
-1.4
0.0808
0.0793
0.0778
0.0764
0.0749
1.5
0.9332
0.9345
0.9357
0.9370
0.9382
0.0735
0.9394
0.9406
0.9418
0.9429
0.9441
0.0721
0.0708
0.0694 0.0681
-1.3 0.0968
0.0951
0.0934
0.0918
0.0901
0.0885
0.0869
0.0853
0.0838 0.0823
1.6
0.9452
0.9463
0.9474
0.9484
0.9495
0.9505
0.9515
0.9525
0.9535
0.9545
-1.2 0.1151
1.7
0.1131
0.1112
0.1093
0.1075
0.1056
0.1038
0.9554
0.9564
0.9573
0.9582
0.9591
0.9599
0.9608
0.1020
0.1003 0.0985
0.9616 0.9625 0.9633
-1.1
0.1357
0.1335
0.1314
0.1292
0.1271
0.1251
0.1230
0.1210
1.8
0.9641
0.1190 0.1170
0.9649
0.9656
0.9664
0.9671
0.9678
0.9686
0.9693
-1.0 0.1587
1.9
0.1562
0.1539
0.1515
0.1492
0.1469
0.1446
0.1423
0.9713
0.9719
0.9726
0.1401
0.1379
0.9732
0.9738
0.9744
0.9750
0.9756
0.9699
0.9761 0.9767
0.9706
-0.9
0.1841
0.1814
0.1788
0.1762
0.1736
0.1711
0.1685
0.1660
2.0
0.1635 0.1611
0.9772
0.9778
0.9783
0.9788
0.9793
0.9798
0.9803
0.9808
0.9812
0.9817
-0.8
0.2119
0.2090
0.2061
0.2033
0.2005
0.1977
0.1949
0.1922
2.1
0.1894
0.1867
0.9821
0.9826
0.9830
0.9834
0.9838
0.9842
0.9846
0.9850
0.9854
0.9857
-0.7
0.2420
0.2388
0.2358
0.2327
0.2296
0.2266
0.2236
0.2206
0.2177
0.2148
2.2
0.9861
0.9864
0.9868
0.9871
0.9875
0.9878
0.9881
0.9884
0.9887
0.9890
-0.6
0.2743
0.2709
0.2676
0.2643
0.2611
0.2578
0.2546
0.2514
2.3
0.2482
0.2451
0.9893
0.9896
0.9898
0.9901
0.9904
0.9906
0.9909
0.9911
0.9913
0.9916
-0.5
0.3085
0.3050
0.3015
0.2981
0.2946
0.2912
0.2877
0.2843
0.2810
0.2776
2.4
0.9918
0.9920
0.9922
0.9925
0.9927
0.9929
0.9931
0.9932
0.9934
0.9936
-0.4
0.3446
0.3409
0.3372
0.3336
0.3300
0.3264
0.3228
0.3192
0.3156
0.3121
2.5
0.9938
0.9940
0.9941
0.9943
0.9945
0.9946
0.9948
0.9949
0.9951
0.9952
-0.3
0.3821
0.3783
0.3745
0.3707
0.3669
0.3632
0.3594
0.3557
0.3520 0.3483
2.6
0.9953
0.9955
0.9956
0.9957
0.9959
0.9960
0.9961
0.9962
0.9963
0.9964
-0.2
0.4207
0.4168
0.4129
0.4090
0.4052
0.4013
0.3974
0.3936
0.3897
0.3859
2.7
0.9965
0.9966
0.9967
0.9968
0.9969
0.9970
0.9971
0.9972
0.9973 0.9974
-0.1
0.4602
0.4562
0.4522
0.4483
0.4443
0.4404
0.4364
0.4325
-0.0
0.5000
0.4960
0.4920
0.4880
0.4840
0.4801
0.4761
0.4721
0.4286
0.4681 0.4641
0.4247
2.8
0.9974
0.9975
0.9976
0.9977
0.9977
0.9978
0.9979
0.9979
0.9980
0.9981
2.9
0.9981
0.9982
0.9982
0.9983
0.9984
0.9984
0.9985
0.9985
0.9986
0.9986
3.0
0.99865
0.99869
0.99874
0.99878
0.99882
0.99886 0.99889
0.99893 0.99897 0.99900
Entry represents area under the cumulative standardized normal distribution from - ∞ to Z.
Entry represents area under the cumulative standardized normal distribution from - ∞ to Z.
Transcribed Image Text:Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), complete
parts (a) through (d) below.
Click here to view page 1 of the cumulative standardized normal distribution table.
Click here to view page 2 of the cumulative standardized normal distribution table.
...
a. What is the probability that Z is between - 1.59 and 1.88?
The probability that Z is between - 1.59 and 1.88 is ☐ .
(Round to four decimal places as needed.)
b. What is the probability that Z is less than -1.59 or greater than 1.88?
The probability that Z is less than -1.59 or greater than 1.88 is
(Round to four decimal places as needed.)
c. What is the value of Z if only 1% of all possible Z values are larger?
The value of Z if only 1% of all possible Z values are larger is
(Round to two decimal places as needed.)
d. Between what two values of Z (symmetrically distributed around the mean) will 98.36% of all possible Z
values be contained?
The two values of Z for which 98.36% of all possible Z values are contained between are
(Use ascending order. Round to two decimal places as needed.)
and
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