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a) Find P(z≤1.59)= (round two for decimal places as needed) b) Find P(z ≤-1.28)= (round two for decimal places as needed) c) Find P(-0.89≤z ≤1.76)= round two for decimal places as needed)

a) Find P(z≤1.59)= (round two for decimal places as needed) b) Find P(z ≤-1.28)= (round two for decimal places as needed) c) Find P(-0.89≤z ≤1.76)= round two for decimal places as needed)

MATLAB: An Introduction with Applications
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 probabilities and parts a though d below. (attached are page 1 and 2 of the standard normal probability table)  a) Find P(z≤1.59)= (round two for decimal places as needed) b) Find P(z ≤-1.28)= (round two for decimal places as needed) c) Find P(-0.89≤z ≤1.76)= round two for decimal places as needed) d) P(0.37 ≤z ≤2.12)= (round two for decimal places as needed)
For a standard normal distribution, determine the probabilities in parts a through d below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table. Cumulative Probabilities for the Standard Normal Distribution (page 1) a. Find P(zs1.59). P(zs1.59) = (Round to four decimal places as needed.) Cumulative Probabilities for the Standard Normal Distribution b. Find P(zs -1.28). P(zs - 1.28) = (Round to four decimal places as needed.) %3D Cumalatve probability Table entries represent the shaded area in the figure c. Find P(-0.89 szs1.76). P(-0.89 szs1.76) = O (Round to four decimal places as needed.) d. Find P(0.37szs2.12). FIRST DIGIT OF Z SECOND DIGIT OF z FIRST DIGIT OFz 0.04 0.05 0.06 0.07 0.08 0.09 P(0.37 szs2.12) = (Round to four decimal places as needed.) 0.00 0.01 0.02 0.03 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -3.0 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.9 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4 -2.3 0.0107 0.0104 z0100 0.0099 0.0096 0.0094 0.009 0.0089 0.0087 0.0084 -2.3 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.01 16 0.0113 0.01 10 -2.2 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.1 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -2.0 -1.9 0.0287 0,0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.9 -1.8 0.0359 0,0351 0,0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8 -1.7 0.0446 0,0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7 -1.6 0.0548 0,0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 ー1.5 0.0668 0,0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5 -14 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4 ー13 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -13 -12 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.2 -1.1 0.1357 0,1335 0.1314 0,1292 0.1 271 0.1251 0.1230 0.1210 0.1190 -1.0 0.1587 0,1562 0.1539 0.1170 -1.1 0,1515 0.1492 0.1469 0.1446 0.1423 -09 0.1841 0.1814 0.1788 0.1401 0.1379 -1.0 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 -08 0.2119 0.2090 0,2061 0.2033 0.1611 -0.9 0.2005 0.1977 0.1949 0.1922 0.7 0.2420 0.2389 0,1894 0.1867 0.2358 02327 0.2296 02266 -0.8 -0,6 0.2236 0.2206 0.2177 0.2148 0.2743 0.2709 0.2676 02643 -0.7 0.2611 0.2578 0.2546 0.2514 0.2483 -0.5 0.3085 0,3050 0.3015 0.2451 -0.6 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 -0.4 0.3446 0.3409 0.3372 0.2776 -0.5 0.3336 0.3300 0.3264 0.3228 0.3192 0.3 0.3821 0.3783 0.3745 0.3156 03121 0.4 0.3707 0.3669 0.3632 -0.2 0.4207 0.4168 0.3594 0.3557 0.3520 0.3483 0.4129 0.4000 04052 -0.3 -0.1 0.4602 04013 0.3974 0.3036 0.3897 0.3859 0.4562 0.4522 0.4483 0.4443 0.4404 -0.2 20.0 0.5000 0.4060 0.4364 0.4325 0.4286 0.4247 0.4920 0.4880 0,4840 0.4801 -0.1 0.4761 0.4721 0.4681 0.4641 0.01 0.02 0.0 0.03 0.04 0,05 FIRST DIGIT OF Z 0.06 0,07 0.08 0.09 こ SECOND DIGIT OF z FIRST DIGIT OF z Print Done View an ExOmul
Transcribed Image Text:For a standard normal distribution, determine the probabilities in parts a through d below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table. Cumulative Probabilities for the Standard Normal Distribution (page 1) a. Find P(zs1.59). P(zs1.59) = (Round to four decimal places as needed.) Cumulative Probabilities for the Standard Normal Distribution b. Find P(zs -1.28). P(zs - 1.28) = (Round to four decimal places as needed.) %3D Cumalatve probability Table entries represent the shaded area in the figure c. Find P(-0.89 szs1.76). P(-0.89 szs1.76) = O (Round to four decimal places as needed.) d. Find P(0.37szs2.12). FIRST DIGIT OF Z SECOND DIGIT OF z FIRST DIGIT OFz 0.04 0.05 0.06 0.07 0.08 0.09 P(0.37 szs2.12) = (Round to four decimal places as needed.) 0.00 0.01 0.02 0.03 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -3.0 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.9 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4 -2.3 0.0107 0.0104 z0100 0.0099 0.0096 0.0094 0.009 0.0089 0.0087 0.0084 -2.3 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.01 16 0.0113 0.01 10 -2.2 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.1 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -2.0 -1.9 0.0287 0,0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.9 -1.8 0.0359 0,0351 0,0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8 -1.7 0.0446 0,0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7 -1.6 0.0548 0,0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 ー1.5 0.0668 0,0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5 -14 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4 ー13 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -13 -12 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.2 -1.1 0.1357 0,1335 0.1314 0,1292 0.1 271 0.1251 0.1230 0.1210 0.1190 -1.0 0.1587 0,1562 0.1539 0.1170 -1.1 0,1515 0.1492 0.1469 0.1446 0.1423 -09 0.1841 0.1814 0.1788 0.1401 0.1379 -1.0 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 -08 0.2119 0.2090 0,2061 0.2033 0.1611 -0.9 0.2005 0.1977 0.1949 0.1922 0.7 0.2420 0.2389 0,1894 0.1867 0.2358 02327 0.2296 02266 -0.8 -0,6 0.2236 0.2206 0.2177 0.2148 0.2743 0.2709 0.2676 02643 -0.7 0.2611 0.2578 0.2546 0.2514 0.2483 -0.5 0.3085 0,3050 0.3015 0.2451 -0.6 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 -0.4 0.3446 0.3409 0.3372 0.2776 -0.5 0.3336 0.3300 0.3264 0.3228 0.3192 0.3 0.3821 0.3783 0.3745 0.3156 03121 0.4 0.3707 0.3669 0.3632 -0.2 0.4207 0.4168 0.3594 0.3557 0.3520 0.3483 0.4129 0.4000 04052 -0.3 -0.1 0.4602 04013 0.3974 0.3036 0.3897 0.3859 0.4562 0.4522 0.4483 0.4443 0.4404 -0.2 20.0 0.5000 0.4060 0.4364 0.4325 0.4286 0.4247 0.4920 0.4880 0,4840 0.4801 -0.1 0.4761 0.4721 0.4681 0.4641 0.01 0.02 0.0 0.03 0.04 0,05 FIRST DIGIT OF Z 0.06 0,07 0.08 0.09 こ SECOND DIGIT OF z FIRST DIGIT OF z Print Done View an ExOmul
Cumulative Probabilities for the Standard Normal Distribution (page 2) Cumulative Probabilities for the Standard Normal Distribution Cumulative probability Table entries represent the shaded area in the figure FIRST DIGIT OFz SECOND DIGIT OF Z FIRST DIGIT OF Z 2. 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 05359 0.0 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 05753 0.1 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.2 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 LO 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.1 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.3 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.95 15 0.9525 0.9535 0.9545 1.6 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.8 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.0 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.2 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.3 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.4 2.4 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.995 I 0.9952 2.5 2.5 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.6 2.6 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.7 2.7 0.9974 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.8 2.8 0.9975 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9 2.9 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0,9989 0.9990 0.9990 3.0 3.0 0.9987 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 FIRST DIGIT OF z FIRST DIGIT OF z SECOND DIGIT OF z Print Done
Transcribed Image Text:Cumulative Probabilities for the Standard Normal Distribution (page 2) Cumulative Probabilities for the Standard Normal Distribution Cumulative probability Table entries represent the shaded area in the figure FIRST DIGIT OFz SECOND DIGIT OF Z FIRST DIGIT OF Z 2. 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 05359 0.0 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 05753 0.1 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.2 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 LO 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.1 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.3 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.4 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.5 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.95 15 0.9525 0.9535 0.9545 1.6 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 1.8 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.9 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.0 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.2 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.3 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.4 2.4 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.995 I 0.9952 2.5 2.5 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.6 2.6 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.7 2.7 0.9974 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.8 2.8 0.9975 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9 2.9 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0,9989 0.9990 0.9990 3.0 3.0 0.9987 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 FIRST DIGIT OF z FIRST DIGIT OF z SECOND DIGIT OF z Print Done
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