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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks