Understanding the Impact of Climate Change on Agriculture | Study notes Business Statistics

Unit%Normal%distribution Example,%for%k=1.67,%the%Probability%that%u<k%=%0.9525%and%the%Expected%Unit%Normal%Loss%is%0.0197

k P[u<k] G(k) k P[u<k] G(k) k P[u<k] G(k) k P[u<k] G(k) k P[u<k] G(k) k P[x≤k] G(k) k P[x≤k] G(k) k P[x≤k] G(k)

0.00 0.5000 0.3989 0.50 0.6915 0.1978 1.00 0.8413 0.0833 1.50 0.9332 0.0293 2.00 0.9772 0.0085 2.50 0.9938 0.00200%%%3.00 0.9987 0.000382%%%3.50 0.9998 0.000058

0.01 0.5040 0.3940 0.51 0.6950 0.1947 1.01 0.8438 0.0817 1.51 0.9345 0.0286 2.01 0.9778 0.0083 2.51 0.9940 0.00194%%%3.01 0.9987 0.000369%%%3.51 0.9998 0.000056

0.02 0.5080 0.3890 0.52 0.6985 0.1917 1.02 0.8461 0.0802 1.52 0.9357 0.0280 2.02 0.9783 0.0080 2.52 0.9941 0.00188%%%3.02 0.9987 0.000356%%%3.52 0.9998 0.000054

0.03 0.5120 0.3841 0.53 0.7019 0.1887 1.03 0.8485 0.0787 1.53 0.9370 0.0274 2.03 0.9788 0.0078 2.53 0.9943 0.00183%%%3.03 0.9988 0.000344%%%3.53 0.9998 0.000052

0.04 0.5160 0.3793 0.54 0.7054 0.1857 1.04 0.8508 0.0772 1.54 0.9382 0.0267 2.04 0.9793 0.0076 2.54 0.9945 0.00177%%%3.04 0.9988 0.000332%%%3.54 0.9998 0.000050

0.05 0.5199 0.3744 0.55 0.7088 0.1828 1.05 0.8531 0.0757 1.55 0.9394 0.0261 2.05 0.9798 0.0074 2.55 0.9946 0.00171%%%3.05 0.9989 0.000320%%%3.55 0.9998 0.000048

0.06 0.5239 0.3697 0.56 0.7123 0.1799 1.06 0.8554 0.0742 1.56 0.9406 0.0255 2.06 0.9803 0.0072 2.56 0.9948 0.00166%%%3.06 0.9989 0.000309%%%3.56 0.9998 0.000046

0.07 0.5279 0.3649 0.57 0.7157 0.1771 1.07 0.8577 0.0728 1.57 0.9418 0.0249 2.07 0.9808 0.0070 2.57 0.9949 0.00161%%%3.07 0.9989 0.000298%%%3.57 0.9998 0.000044

0.08 0.5319 0.3602 0.58 0.7190 0.1742 1.08 0.8599 0.0714 1.58 0.9429 0.0244 2.08 0.9812 0.0068 2.58 0.9951 0.00156%%%3.08 0.9990 0.000287%%%3.58 0.9998 0.000042

0.09 0.5359 0.3556 0.59 0.7224 0.1714 1.09 0.8621 0.0700 1.59 0.9441 0.0238 2.09 0.9817 0.0066 2.59 0.9952 0.00151%%%3.09 0.9990 0.000277%%%3.59 0.9998 0.000041

0.10 0.5398 0.3509 0.60 0.7257 0.1687 1.10 0.8643 0.0686 1.60 0.9452 0.0232 2.10 0.9821 0.0065 2.60 0.9953 0.00146%%%3.10 0.9990 0.000267%%%3.60 0.9998 0.000039

0.11 0.5438 0.3464 0.61 0.7291 0.1659 1.11 0.8665 0.0673 1.61 0.9463 0.0227 2.11 0.9826 0.0063 2.61 0.9955 0.00142%%%3.11 0.9991 0.000258%%%3.61 0.9998 0.000038

0.12 0.5478 0.3418 0.62 0.7324 0.1633 1.12 0.8686 0.0659 1.62 0.9474 0.0222 2.12 0.9830 0.0061 2.62 0.9956 0.00137%%%3.12 0.9991 0.000249%%%3.62 0.9999 0.000036

0.13 0.5517 0.3373 0.63 0.7357 0.1606 1.13 0.8708 0.0646 1.63 0.9484 0.0216 2.13 0.9834 0.0060 2.63 0.9957 0.00133%%%3.13 0.9991 0.000240%%%3.63 0.9999 0.000035

0.14 0.5557 0.3328 0.64 0.7389 0.1580 1.14 0.8729 0.0634 1.64 0.9495 0.0211 2.14 0.9838 0.0058 2.64 0.9959 0.00129%%%3.14 0.9992 0.000231%%%3.64 0.9999 0.000033

0.15 0.5596 0.3284 0.65 0.7422 0.1554 1.15 0.8749 0.0621 1.65 0.9505 0.0206 2.15 0.9842 0.0056 2.65 0.9960 0.00125%%%3.15 0.9992 0.000223%%%3.65 0.9999 0.000032

0.16 0.5636 0.3240 0.66 0.7454 0.1528 1.16 0.8770 0.0609 1.66 0.9515 0.0201 2.16 0.9846 0.0055 2.66 0.9961 0.00121%%%3.16 0.9992 0.000215%%%3.66 0.9999 0.000031

0.17 0.5675 0.3197 0.67 0.7486 0.1503 1.17 0.8790 0.0596 1.67 0.9525 0.0197 2.17 0.9850 0.0053 2.67 0.9962 0.00117%%%3.17 0.9992 0.000207%%%3.67 0.9999 0.000029

0.18 0.5714 0.3154 0.68 0.7517 0.1478 1.18 0.8810 0.0584 1.68 0.9535 0.0192 2.18 0.9854 0.0052 2.68 0.9963 0.00113%%%3.18 0.9993 0.000199%%%3.68 0.9999 0.000028

0.19 0.5753 0.3111 0.69 0.7549 0.1453 1.19 0.8830 0.0573 1.69 0.9545 0.0187 2.19 0.9857 0.0050 2.69 0.9964 0.00110%%%3.19 0.9993 0.000192%%%3.69 0.9999 0.000027

0.20 0.5793 0.3069 0.70 0.7580 0.1429 1.20 0.8849 0.0561 1.70 0.9554 0.0183 2.20 0.9861 0.0049 2.70 0.9965 0.00106%%%3.20 0.9993 0.000185%%%3.70 0.9999 0.000026

0.21 0.5832 0.3027 0.71 0.7611 0.1405 1.21 0.8869 0.0550 1.71 0.9564 0.0178 2.21 0.9864 0.0047 2.71 0.9966 0.00103%%%3.21 0.9993 0.000178%%%3.71 0.9999 0.000025

0.22 0.5871 0.2986 0.72 0.7642 0.1381 1.22 0.8888 0.0538 1.72 0.9573 0.0174 2.22 0.9868 0.0046 2.72 0.9967 0.00099%%%3.22 0.9994 0.000172%%%3.72 0.9999 0.000024

0.23 0.5910 0.2944 0.73 0.7673 0.1358 1.23 0.8907 0.0527 1.73 0.9582 0.0170 2.23 0.9871 0.0045 2.73 0.9968 0.00096%%%3.23 0.9994 0.000166%%%3.73 0.9999 0.000023

0.24 0.5948 0.2904 0.74 0.7704 0.1334 1.24 0.8925 0.0517 1.74 0.9591 0.0166 2.24 0.9875 0.0044 2.74 0.9969 0.00093%%%3.24 0.9994 0.000160%%%3.74 0.9999 0.000022

0.25 0.5987 0.2863 0.75 0.7734 0.1312 1.25 0.8944 0.0506 1.75 0.9599 0.0162 2.25 0.9878 0.0042 2.75 0.9970 0.00090%%%3.25 0.9994 0.000154%%%3.75 0.9999 0.000021

0.26 0.6026 0.2824 0.76 0.7764 0.1289 1.26 0.8962 0.0495 1.76 0.9608 0.0158 2.26 0.9881 0.0041 2.76 0.9971 0.00087%%%3.26 0.9994 0.000148%%%3.76 0.9999 0.000020

0.27 0.6064 0.2784 0.77 0.7794 0.1267 1.27 0.8980 0.0485 1.77 0.9616 0.0154 2.27 0.9884 0.0040 2.77 0.9972 0.00084%%%3.27 0.9995 0.000143%%%3.77 0.9999 0.000019

0.28 0.6103 0.2745 0.78 0.7823 0.1245 1.28 0.8997 0.0475 1.78 0.9625 0.0150 2.28 0.9887 0.0039 2.78 0.9973 0.00081%%%3.28 0.9995 0.000137%%%3.78 0.9999 0.000019

0.29 0.6141 0.2706 0.79 0.7852 0.1223 1.29 0.9015 0.0465 1.79 0.9633 0.0146 2.29 0.9890 0.0038 2.79 0.9974 0.00079%%%3.29 0.9995 0.000132%%%3.79 0.9999 0.000018

0.30 0.6179 0.2668 0.80 0.7881 0.1202 1.30 0.9032 0.0455 1.80 0.9641 0.0143 2.30 0.9893 0.0037 2.80 0.9974 0.00076%%%3.30 0.9995 0.000127%%%3.80 0.9999 0.000017

0.31 0.6217 0.2630 0.81 0.7910 0.1181 1.31 0.9049 0.0446 1.81 0.9649 0.0139 2.31 0.9896 0.0036 2.81 0.9975 0.00074%%%3.31 0.9995 0.000123%%%3.81 0.9999 0.000016

0.32 0.6255 0.2592 0.82 0.7939 0.1160 1.32 0.9066 0.0436 1.82 0.9656 0.0136 2.32 0.9898 0.0035 2.82 0.9976 0.00071%%%3.32 0.9995 0.000118%%%3.82 0.9999 0.000016

0.33 0.6293 0.2555 0.83 0.7967 0.1140 1.33 0.9082 0.0427 1.83 0.9664 0.0132 2.33 0.9901 0.0034 2.83 0.9977 0.00069%%%3.33 0.9996 0.000114%%%3.83 0.9999 0.000015

0.34 0.6331 0.2518 0.84 0.7995 0.1120 1.34 0.9099 0.0418 1.84 0.9671 0.0129 2.34 0.9904 0.0033 2.84 0.9977 0.00066%%%3.34 0.9996 0.000109%%%3.84 0.9999 0.000014

0.35 0.6368 0.2481 0.85 0.8023 0.1100 1.35 0.9115 0.0409 1.85 0.9678 0.0126 2.35 0.9906 0.0032 2.85 0.9978 0.00064%%%3.35 0.9996 0.000105%%%3.85 0.9999 0.000014

0.36 0.6406 0.2445 0.86 0.8051 0.1080 1.36 0.9131 0.0400 1.86 0.9686 0.0123 2.36 0.9909 0.0031 2.86 0.9979 0.00062%%%3.36 0.9996 0.000101%%%3.86 0.9999 0.000013

0.37 0.6443 0.2409 0.87 0.8078 0.1061 1.37 0.9147 0.0392 1.87 0.9693 0.0119 2.37 0.9911 0.0030 2.87 0.9979 0.00060%%%3.37 0.9996 0.000097%%%3.87 0.9999 0.000013

0.38 0.6480 0.2374 0.88 0.8106 0.1042 1.38 0.9162 0.0383 1.88 0.9699 0.0116 2.38 0.9913 0.0029 2.88 0.9980 0.00058%%%3.38 0.9996 0.000094%%%3.88 0.9999 0.000012

0.39 0.6517 0.2339 0.89 0.8133 0.1023 1.39 0.9177 0.0375 1.89 0.9706 0.0113 2.39 0.9916 0.0028 2.89 0.9981 0.00056%%%3.39 0.9997 0.000090%%%3.89 0.9999 0.000012

0.40 0.6554 0.2304 0.90 0.8159 0.1004 1.40 0.9192 0.0367 1.90 0.9713 0.0111 2.40 0.9918 0.0027 2.90 0.9981 0.00054%%%3.40 0.9997 0.000087%%%3.90 1.0000 0.000011

0.41 0.6591 0.2270 0.91 0.8186 0.0986 1.41 0.9207 0.0359 1.91 0.9719 0.0108 2.41 0.9920 0.0026 2.91 0.9982 0.00052%%%3.41 0.9997 0.000083%%%3.91 1.0000 0.000011

0.42 0.6628 0.2236 0.92 0.8212 0.0968 1.42 0.9222 0.0351 1.92 0.9726 0.0105 2.42 0.9922 0.0026 2.92 0.9982 0.00051%%%3.42 0.9997 0.000080%%%3.92 1.0000 0.000010

0.43 0.6664 0.2203 0.93 0.8238 0.0950 1.43 0.9236 0.0343 1.93 0.9732 0.0102 2.43 0.9925 0.0025 2.93 0.9983 0.00049%%%3.43 0.9997 0.000077%%%3.93 1.0000 0.000010

0.44 0.6700 0.2169 0.94 0.8264 0.0933 1.44 0.9251 0.0336 1.94 0.9738 0.0100 2.44 0.9927 0.0024 2.94 0.9984 0.00047%%%3.44 0.9997 0.000074%%%3.94 1.0000 0.000009

0.45 0.6736 0.2137 0.95 0.8289 0.0916 1.45 0.9265 0.0328 1.95 0.9744 0.0097 2.45 0.9929 0.0023 2.95 0.9984 0.00046%%%3.45 0.9997 0.000071%%%3.95 1.0000 0.000009

0.46 0.6772 0.2104 0.96 0.8315 0.0899 1.46 0.9279 0.0321 1.96 0.9750 0.0094 2.46 0.9931 0.0023 2.96 0.9985 0.00044%%%3.46 0.9997 0.000069%%%3.96 1.0000 0.000009

0.47 0.6808 0.2072 0.97 0.8340 0.0882 1.47 0.9292 0.0314 1.97 0.9756 0.0092 2.47 0.9932 0.0022 2.97 0.9985 0.00042%%%3.47 0.9997 0.000066%%%3.97 1.0000 0.000008

0.48 0.6844 0.2040 0.98 0.8365 0.0865 1.48 0.9306 0.0307 1.98 0.9761 0.0090 2.48 0.9934 0.0021 2.98 0.9986 0.00041%%%3.48 0.9997 0.000063%%%3.98 1.0000 0.000008

0.49 0.6879 0.2009 0.99 0.8389 0.0849 1.49 0.9319 0.0300 1.99 0.9767 0.0087 2.49 0.9936 0.0021 2.99 0.9986 0.00040%%%3.49 0.9998 0.000061%%%3.99 1.0000 0.000007

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k P[u<k] G(k) k P[u<k] G(k) k P[u<k] G(k) k P[u<k] G(k) k P[u<k] G(k) k P[x≤k] G(k) k P[x≤k] G(k) k P[x≤k] G(k)

Unit Normal distribution Example, for k=1.67, the Probability that u<k = 0.9525 and the Expected Unit Normal Loss is 0.
0.00 0.5000 0.3989 0.50 0.6915 0.1978 1.00 0.8413 0.0833 1.50 0.9332 0.0293 2.00 0.9772 0.0085 2.50 0.9938 0.00200 3.00 0.9987 0.000382 3.50 0.9998 0.
0.01 0.5040 0.3940 0.51 0.6950 0.1947 1.01 0.8438 0.0817 1.51 0.9345 0.0286 2.01 0.9778 0.0083 2.51 0.9940 0.00194 3.01 0.9987 0.000369 3.51 0.9998 0.
0.02 0.5080 0.3890 0.52 0.6985 0.1917 1.02 0.8461 0.0802 1.52 0.9357 0.0280 2.02 0.9783 0.0080 2.52 0.9941 0.00188 3.02 0.9987 0.000356 3.52 0.9998 0.
0.03 0.5120 0.3841 0.53 0.7019 0.1887 1.03 0.8485 0.0787 1.53 0.9370 0.0274 2.03 0.9788 0.0078 2.53 0.9943 0.00183 3.03 0.9988 0.000344 3.53 0.9998 0.
0.04 0.5160 0.3793 0.54 0.7054 0.1857 1.04 0.8508 0.0772 1.54 0.9382 0.0267 2.04 0.9793 0.0076 2.54 0.9945 0.00177 3.04 0.9988 0.000332 3.54 0.9998 0.
0.05 0.5199 0.3744 0.55 0.7088 0.1828 1.05 0.8531 0.0757 1.55 0.9394 0.0261 2.05 0.9798 0.0074 2.55 0.9946 0.00171 3.05 0.9989 0.000320 3.55 0.9998 0.
0.06 0.5239 0.3697 0.56 0.7123 0.1799 1.06 0.8554 0.0742 1.56 0.9406 0.0255 2.06 0.9803 0.0072 2.56 0.9948 0.00166 3.06 0.9989 0.000309 3.56 0.9998 0.
0.07 0.5279 0.3649 0.57 0.7157 0.1771 1.07 0.8577 0.0728 1.57 0.9418 0.0249 2.07 0.9808 0.0070 2.57 0.9949 0.00161 3.07 0.9989 0.000298 3.57 0.9998 0.
0.08 0.5319 0.3602 0.58 0.7190 0.1742 1.08 0.8599 0.0714 1.58 0.9429 0.0244 2.08 0.9812 0.0068 2.58 0.9951 0.00156 3.08 0.9990 0.000287 3.58 0.9998 0.
0.09 0.5359 0.3556 0.59 0.7224 0.1714 1.09 0.8621 0.0700 1.59 0.9441 0.0238 2.09 0.9817 0.0066 2.59 0.9952 0.00151 3.09 0.9990 0.000277 3.59 0.9998 0.
0.10 0.5398 0.3509 0.60 0.7257 0.1687 1.10 0.8643 0.0686 1.60 0.9452 0.0232 2.10 0.9821 0.0065 2.60 0.9953 0.00146 3.10 0.9990 0.000267 3.60 0.9998 0.
0.11 0.5438 0.3464 0.61 0.7291 0.1659 1.11 0.8665 0.0673 1.61 0.9463 0.0227 2.11 0.9826 0.0063 2.61 0.9955 0.00142 3.11 0.9991 0.000258 3.61 0.9998 0.
0.12 0.5478 0.3418 0.62 0.7324 0.1633 1.12 0.8686 0.0659 1.62 0.9474 0.0222 2.12 0.9830 0.0061 2.62 0.9956 0.00137 3.12 0.9991 0.000249 3.62 0.9999 0.
0.13 0.5517 0.3373 0.63 0.7357 0.1606 1.13 0.8708 0.0646 1.63 0.9484 0.0216 2.13 0.9834 0.0060 2.63 0.9957 0.00133 3.13 0.9991 0.000240 3.63 0.9999 0.
0.14 0.5557 0.3328 0.64 0.7389 0.1580 1.14 0.8729 0.0634 1.64 0.9495 0.0211 2.14 0.9838 0.0058 2.64 0.9959 0.00129 3.14 0.9992 0.000231 3.64 0.9999 0.
0.15 0.5596 0.3284 0.65 0.7422 0.1554 1.15 0.8749 0.0621 1.65 0.9505 0.0206 2.15 0.9842 0.0056 2.65 0.9960 0.00125 3.15 0.9992 0.000223 3.65 0.9999 0.
0.16 0.5636 0.3240 0.66 0.7454 0.1528 1.16 0.8770 0.0609 1.66 0.9515 0.0201 2.16 0.9846 0.0055 2.66 0.9961 0.00121 3.16 0.9992 0.000215 3.66 0.9999 0.
0.17 0.5675 0.3197 0.67 0.7486 0.1503 1.17 0.8790 0.0596 1.67 0.9525 0.0197 2.17 0.9850 0.0053 2.67 0.9962 0.00117 3.17 0.9992 0.000207 3.67 0.9999 0.
0.18 0.5714 0.3154 0.68 0.7517 0.1478 1.18 0.8810 0.0584 1.68 0.9535 0.0192 2.18 0.9854 0.0052 2.68 0.9963 0.00113 3.18 0.9993 0.000199 3.68 0.9999 0.
0.19 0.5753 0.3111 0.69 0.7549 0.1453 1.19 0.8830 0.0573 1.69 0.9545 0.0187 2.19 0.9857 0.0050 2.69 0.9964 0.00110 3.19 0.9993 0.000192 3.69 0.9999 0.
0.20 0.5793 0.3069 0.70 0.7580 0.1429 1.20 0.8849 0.0561 1.70 0.9554 0.0183 2.20 0.9861 0.0049 2.70 0.9965 0.00106 3.20 0.9993 0.000185 3.70 0.9999 0.
0.21 0.5832 0.3027 0.71 0.7611 0.1405 1.21 0.8869 0.0550 1.71 0.9564 0.0178 2.21 0.9864 0.0047 2.71 0.9966 0.00103 3.21 0.9993 0.000178 3.71 0.9999 0.
0.22 0.5871 0.2986 0.72 0.7642 0.1381 1.22 0.8888 0.0538 1.72 0.9573 0.0174 2.22 0.9868 0.0046 2.72 0.9967 0.00099 3.22 0.9994 0.000172 3.72 0.9999 0.
0.23 0.5910 0.2944 0.73 0.7673 0.1358 1.23 0.8907 0.0527 1.73 0.9582 0.0170 2.23 0.9871 0.0045 2.73 0.9968 0.00096 3.23 0.9994 0.000166 3.73 0.9999 0.
0.24 0.5948 0.2904 0.74 0.7704 0.1334 1.24 0.8925 0.0517 1.74 0.9591 0.0166 2.24 0.9875 0.0044 2.74 0.9969 0.00093 3.24 0.9994 0.000160 3.74 0.9999 0.
0.25 0.5987 0.2863 0.75 0.7734 0.1312 1.25 0.8944 0.0506 1.75 0.9599 0.0162 2.25 0.9878 0.0042 2.75 0.9970 0.00090 3.25 0.9994 0.000154 3.75 0.9999 0.
0.26 0.6026 0.2824 0.76 0.7764 0.1289 1.26 0.8962 0.0495 1.76 0.9608 0.0158 2.26 0.9881 0.0041 2.76 0.9971 0.00087 3.26 0.9994 0.000148 3.76 0.9999 0.
0.27 0.6064 0.2784 0.77 0.7794 0.1267 1.27 0.8980 0.0485 1.77 0.9616 0.0154 2.27 0.9884 0.0040 2.77 0.9972 0.00084 3.27 0.9995 0.000143 3.77 0.9999 0.
0.28 0.6103 0.2745 0.78 0.7823 0.1245 1.28 0.8997 0.0475 1.78 0.9625 0.0150 2.28 0.9887 0.0039 2.78 0.9973 0.00081 3.28 0.9995 0.000137 3.78 0.9999 0.
0.29 0.6141 0.2706 0.79 0.7852 0.1223 1.29 0.9015 0.0465 1.79 0.9633 0.0146 2.29 0.9890 0.0038 2.79 0.9974 0.00079 3.29 0.9995 0.000132 3.79 0.9999 0.
0.30 0.6179 0.2668 0.80 0.7881 0.1202 1.30 0.9032 0.0455 1.80 0.9641 0.0143 2.30 0.9893 0.0037 2.80 0.9974 0.00076 3.30 0.9995 0.000127 3.80 0.9999 0.
0.31 0.6217 0.2630 0.81 0.7910 0.1181 1.31 0.9049 0.0446 1.81 0.9649 0.0139 2.31 0.9896 0.0036 2.81 0.9975 0.00074 3.31 0.9995 0.000123 3.81 0.9999 0.
0.32 0.6255 0.2592 0.82 0.7939 0.1160 1.32 0.9066 0.0436 1.82 0.9656 0.0136 2.32 0.9898 0.0035 2.82 0.9976 0.00071 3.32 0.9995 0.000118 3.82 0.9999 0.
0.33 0.6293 0.2555 0.83 0.7967 0.1140 1.33 0.9082 0.0427 1.83 0.9664 0.0132 2.33 0.9901 0.0034 2.83 0.9977 0.00069 3.33 0.9996 0.000114 3.83 0.9999 0.
0.34 0.6331 0.2518 0.84 0.7995 0.1120 1.34 0.9099 0.0418 1.84 0.9671 0.0129 2.34 0.9904 0.0033 2.84 0.9977 0.00066 3.34 0.9996 0.000109 3.84 0.9999 0.
0.35 0.6368 0.2481 0.85 0.8023 0.1100 1.35 0.9115 0.0409 1.85 0.9678 0.0126 2.35 0.9906 0.0032 2.85 0.9978 0.00064 3.35 0.9996 0.000105 3.85 0.9999 0.
0.36 0.6406 0.2445 0.86 0.8051 0.1080 1.36 0.9131 0.0400 1.86 0.9686 0.0123 2.36 0.9909 0.0031 2.86 0.9979 0.00062 3.36 0.9996 0.000101 3.86 0.9999 0.
0.37 0.6443 0.2409 0.87 0.8078 0.1061 1.37 0.9147 0.0392 1.87 0.9693 0.0119 2.37 0.9911 0.0030 2.87 0.9979 0.00060 3.37 0.9996 0.000097 3.87 0.9999 0.
0.38 0.6480 0.2374 0.88 0.8106 0.1042 1.38 0.9162 0.0383 1.88 0.9699 0.0116 2.38 0.9913 0.0029 2.88 0.9980 0.00058 3.38 0.9996 0.000094 3.88 0.9999 0.
0.39 0.6517 0.2339 0.89 0.8133 0.1023 1.39 0.9177 0.0375 1.89 0.9706 0.0113 2.39 0.9916 0.0028 2.89 0.9981 0.00056 3.39 0.9997 0.000090 3.89 0.9999 0.
0.40 0.6554 0.2304 0.90 0.8159 0.1004 1.40 0.9192 0.0367 1.90 0.9713 0.0111 2.40 0.9918 0.0027 2.90 0.9981 0.00054 3.40 0.9997 0.000087 3.90 1.0000 0.
0.41 0.6591 0.2270 0.91 0.8186 0.0986 1.41 0.9207 0.0359 1.91 0.9719 0.0108 2.41 0.9920 0.0026 2.91 0.9982 0.00052 3.41 0.9997 0.000083 3.91 1.0000 0.
0.42 0.6628 0.2236 0.92 0.8212 0.0968 1.42 0.9222 0.0351 1.92 0.9726 0.0105 2.42 0.9922 0.0026 2.92 0.9982 0.00051 3.42 0.9997 0.000080 3.92 1.0000 0.
0.43 0.6664 0.2203 0.93 0.8238 0.0950 1.43 0.9236 0.0343 1.93 0.9732 0.0102 2.43 0.9925 0.0025 2.93 0.9983 0.00049 3.43 0.9997 0.000077 3.93 1.0000 0.
0.44 0.6700 0.2169 0.94 0.8264 0.0933 1.44 0.9251 0.0336 1.94 0.9738 0.0100 2.44 0.9927 0.0024 2.94 0.9984 0.00047 3.44 0.9997 0.000074 3.94 1.0000 0.
0.45 0.6736 0.2137 0.95 0.8289 0.0916 1.45 0.9265 0.0328 1.95 0.9744 0.0097 2.45 0.9929 0.0023 2.95 0.9984 0.00046 3.45 0.9997 0.000071 3.95 1.0000 0.
0.46 0.6772 0.2104 0.96 0.8315 0.0899 1.46 0.9279 0.0321 1.96 0.9750 0.0094 2.46 0.9931 0.0023 2.96 0.9985 0.00044 3.46 0.9997 0.000069 3.96 1.0000 0.
0.47 0.6808 0.2072 0.97 0.8340 0.0882 1.47 0.9292 0.0314 1.97 0.9756 0.0092 2.47 0.9932 0.0022 2.97 0.9985 0.00042 3.47 0.9997 0.000066 3.97 1.0000 0.
0.48 0.6844 0.2040 0.98 0.8365 0.0865 1.48 0.9306 0.0307 1.98 0.9761 0.0090 2.48 0.9934 0.0021 2.98 0.9986 0.00041 3.48 0.9997 0.000063 3.98 1.0000 0.
0.49 0.6879 0.2009 0.99 0.8389 0.0849 1.49 0.9319 0.0300 1.99 0.9767 0.0087 2.49 0.9936 0.0021 2.99 0.9986 0.00040 3.49 0.9998 0.000061 3.99 1.0000 0.
- 0.00 0.5000 0.3989 -‐0.50 0.3085 0.6978 -‐1.00 0.1587 1.0833 -‐1.50 0.0668 1.5293 -‐2.00 0.0228 2.0085 -‐2.50 0.0062 2.50200 -‐3.00 0.0013 3.000382 -‐3.50 0.0002 3. k P[u<k] G(k) k P[u<k] G(k) k P[u<k] G(k) k P[u<k] G(k) k P[u<k] G(k) k P[x≤k] G(k) k P[x≤k] G(k) k P[x≤k] G(k)
-‐0.01 0.4960 0.4040 -‐0.51 0.3050 0.7047 -‐1.01 0.1562 1.0917 -‐1.51 0.0655 1.5386 -‐2.01 0.0222 2.0183 -‐2.51 0.0060 2.51194 -‐3.01 0.0013 3.010369 -‐3.51 0.0002 3.
-‐0.02 0.4920 0.4090 -‐0.52 0.3015 0.7117 -‐1.02 0.1539 1.1002 -‐1.52 0.0643 1.5480 -‐2.02 0.0217 2.0280 -‐2.52 0.0059 2.52188 -‐3.02 0.0013 3.020356 -‐3.52 0.0002 3.
-‐0.03 0.4880 0.4141 -‐0.53 0.2981 0.7187 -‐1.03 0.1515 1.1087 -‐1.53 0.0630 1.5574 -‐2.03 0.0212 2.0378 -‐2.53 0.0057 2.53183 -‐3.03 0.0012 3.030344 -‐3.53 0.0002 3.
-‐0.04 0.4840 0.4193 -‐0.54 0.2946 0.7257 -‐1.04 0.1492 1.1172 -‐1.54 0.0618 1.5667 -‐2.04 0.0207 2.0476 -‐2.54 0.0055 2.54177 -‐3.04 0.0012 3.040332 -‐3.54 0.0002 3.
-‐0.05 0.4801 0.4244 -‐0.55 0.2912 0.7328 -‐1.05 0.1469 1.1257 -‐1.55 0.0606 1.5761 -‐2.05 0.0202 2.0574 -‐2.55 0.0054 2.55171 -‐3.05 0.0011 3.050320 -‐3.55 0.0002 3.
-‐0.06 0.4761 0.4297 -‐0.56 0.2877 0.7399 -‐1.06 0.1446 1.1342 -‐1.56 0.0594 1.5855 -‐2.06 0.0197 2.0672 -‐2.56 0.0052 2.56166 -‐3.06 0.0011 3.060309 -‐3.56 0.0002 3.
-‐0.07 0.4721 0.4349 -‐0.57 0.2843 0.7471 -‐1.07 0.1423 1.1428 -‐1.57 0.0582 1.5949 -‐2.07 0.0192 2.0770 -‐2.57 0.0051 2.57161 -‐3.07 0.0011 3.070298 -‐3.57 0.0002 3.
-‐0.08 0.4681 0.4402 -‐0.58 0.2810 0.7542 -‐1.08 0.1401 1.1514 -‐1.58 0.0571 1.6044 -‐2.08 0.0188 2.0868 -‐2.58 0.0049 2.58156 -‐3.08 0.0010 3.080287 -‐3.58 0.0002 3.
-‐0.09 0.4641 0.4456 -‐0.59 0.2776 0.7614 -‐1.09 0.1379 1.1600 -‐1.59 0.0559 1.6138 -‐2.09 0.0183 2.0966 -‐2.59 0.0048 2.59151 -‐3.09 0.0010 3.090277 -‐3.59 0.0002 3.
-‐0.10 0.4602 0.4509 -‐0.60 0.2743 0.7687 -‐1.10 0.1357 1.1686 -‐1.60 0.0548 1.6232 -‐2.10 0.0179 2.1065 -‐2.60 0.0047 2.60146 -‐3.10 0.0010 3.100267 -‐3.60 0.0002 3.
-‐0.11 0.4562 0.4564 -‐0.61 0.2709 0.7759 -‐1.11 0.1335 1.1773 -‐1.61 0.0537 1.6327 -‐2.11 0.0174 2.1163 -‐2.61 0.0045 2.61142 -‐3.11 0.0009 3.110258 -‐3.61 0.0002 3.
-‐0.12 0.4522 0.4618 -‐0.62 0.2676 0.7833 -‐1.12 0.1314 1.1859 -‐1.62 0.0526 1.6422 -‐2.12 0.0170 2.1261 -‐2.62 0.0044 2.62137 -‐3.12 0.0009 3.120249 -‐3.62 0.0001 3.
-‐0.13 0.4483 0.4673 -‐0.63 0.2643 0.7906 -‐1.13 0.1292 1.1946 -‐1.63 0.0516 1.6516 -‐2.13 0.0166 2.1360 -‐2.63 0.0043 2.63133 -‐3.13 0.0009 3.130240 -‐3.63 0.0001 3.
-‐0.14 0.4443 0.4728 -‐0.64 0.2611 0.7980 -‐1.14 0.1271 1.2034 -‐1.64 0.0505 1.6611 -‐2.14 0.0162 2.1458 -‐2.64 0.0041 2.64129 -‐3.14 0.0008 3.140231 -‐3.64 0.0001 3.
-‐0.15 0.4404 0.4784 -‐0.65 0.2578 0.8054 -‐1.15 0.1251 1.2121 -‐1.65 0.0495 1.6706 -‐2.15 0.0158 2.1556 -‐2.65 0.0040 2.65125 -‐3.15 0.0008 3.150223 -‐3.65 0.0001 3.
-‐0.16 0.4364 0.4840 -‐0.66 0.2546 0.8128 -‐1.16 0.1230 1.2209 -‐1.66 0.0485 1.6801 -‐2.16 0.0154 2.1655 -‐2.66 0.0039 2.66121 -‐3.16 0.0008 3.160215 -‐3.66 0.0001 3.
-‐0.17 0.4325 0.4897 -‐0.67 0.2514 0.8203 -‐1.17 0.1210 1.2296 -‐1.67 0.0475 1.6897 -‐2.17 0.0150 2.1753 -‐2.67 0.0038 2.67117 -‐3.17 0.0008 3.170207 -‐3.67 0.0001 3.
-‐0.18 0.4286 0.4954 -‐0.68 0.2483 0.8278 -‐1.18 0.1190 1.2384 -‐1.68 0.0465 1.6992 -‐2.18 0.0146 2.1852 -‐2.68 0.0037 2.68113 -‐3.18 0.0007 3.180199 -‐3.68 0.0001 3.
-‐0.19 0.4247 0.5011 -‐0.69 0.2451 0.8353 -‐1.19 0.1170 1.2473 -‐1.69 0.0455 1.7087 -‐2.19 0.0143 2.1950 -‐2.69 0.0036 2.69110 -‐3.19 0.0007 3.190192 -‐3.69 0.0001 3.
-‐0.20 0.4207 0.5069 -‐0.70 0.2420 0.8429 -‐1.20 0.1151 1.2561 -‐1.70 0.0446 1.7183 -‐2.20 0.0139 2.2049 -‐2.70 0.0035 2.70106 -‐3.20 0.0007 3.200185 -‐3.70 0.0001 3.
-‐0.21 0.4168 0.5127 -‐0.71 0.2389 0.8505 -‐1.21 0.1131 1.2650 -‐1.71 0.0436 1.7278 -‐2.21 0.0136 2.2147 -‐2.71 0.0034 2.71103 -‐3.21 0.0007 3.210178 -‐3.71 0.0001 3.
-‐0.22 0.4129 0.5186 -‐0.72 0.2358 0.8581 -‐1.22 0.1112 1.2738 -‐1.72 0.0427 1.7374 -‐2.22 0.0132 2.2246 -‐2.72 0.0033 2.72099 -‐3.22 0.0006 3.220172 -‐3.72 0.0001 3.
-‐0.23 0.4090 0.5244 -‐0.73 0.2327 0.8658 -‐1.23 0.1093 1.2827 -‐1.73 0.0418 1.7470 -‐2.23 0.0129 2.2345 -‐2.73 0.0032 2.73096 -‐3.23 0.0006 3.230166 -‐3.73 0.0001 3.
-‐0.24 0.4052 0.5304 -‐0.74 0.2296 0.8734 -‐1.24 0.1075 1.2917 -‐1.74 0.0409 1.7566 -‐2.24 0.0125 2.2444 -‐2.74 0.0031 2.74093 -‐3.24 0.0006 3.240160 -‐3.74 0.0001 3.
-‐0.25 0.4013 0.5363 -‐0.75 0.2266 0.8812 -‐1.25 0.1056 1.3006 -‐1.75 0.0401 1.7662 -‐2.25 0.0122 2.2542 -‐2.75 0.0030 2.75090 -‐3.25 0.0006 3.250154 -‐3.75 0.0001 3.
-‐0.26 0.3974 0.5424 -‐0.76 0.2236 0.8889 -‐1.26 0.1038 1.3095 -‐1.76 0.0392 1.7758 -‐2.26 0.0119 2.2641 -‐2.76 0.0029 2.76087 -‐3.26 0.0006 3.260148 -‐3.76 0.0001 3.
-‐0.27 0.3936 0.5484 -‐0.77 0.2206 0.8967 -‐1.27 0.1020 1.3185 -‐1.77 0.0384 1.7854 -‐2.27 0.0116 2.2740 -‐2.77 0.0028 2.77084 -‐3.27 0.0005 3.270143 -‐3.77 0.0001 3.
-‐0.28 0.3897 0.5545 -‐0.78 0.2177 0.9045 -‐1.28 0.1003 1.3275 -‐1.78 0.0375 1.7950 -‐2.28 0.0113 2.2839 -‐2.78 0.0027 2.78081 -‐3.28 0.0005 3.280137 -‐3.78 0.0001 3.
-‐0.29 0.3859 0.5606 -‐0.79 0.2148 0.9123 -‐1.29 0.0985 1.3365 -‐1.79 0.0367 1.8046 -‐2.29 0.0110 2.2938 -‐2.79 0.0026 2.79079 -‐3.29 0.0005 3.290132 -‐3.79 0.0001 3.
-‐0.30 0.3821 0.5668 -‐0.80 0.2119 0.9202 -‐1.30 0.0968 1.3455 -‐1.80 0.0359 1.8143 -‐2.30 0.0107 2.3037 -‐2.80 0.0026 2.80076 -‐3.30 0.0005 3.300127 -‐3.80 0.0001 3.
-‐0.31 0.3783 0.5730 -‐0.81 0.2090 0.9281 -‐1.31 0.0951 1.3546 -‐1.81 0.0351 1.8239 -‐2.31 0.0104 2.3136 -‐2.81 0.0025 2.81074 -‐3.31 0.0005 3.310123 -‐3.81 0.0001 3.
-‐0.32 0.3745 0.5792 -‐0.82 0.2061 0.9360 -‐1.32 0.0934 1.3636 -‐1.82 0.0344 1.8336 -‐2.32 0.0102 2.3235 -‐2.82 0.0024 2.82071 -‐3.32 0.0005 3.320118 -‐3.82 0.0001 3.
-‐0.33 0.3707 0.5855 -‐0.83 0.2033 0.9440 -‐1.33 0.0918 1.3727 -‐1.83 0.0336 1.8432 -‐2.33 0.0099 2.3334 -‐2.83 0.0023 2.83069 -‐3.33 0.0004 3.330114 -‐3.83 0.0001 3.
-‐0.34 0.3669 0.5918 -‐0.84 0.2005 0.9520 -‐1.34 0.0901 1.3818 -‐1.84 0.0329 1.8529 -‐2.34 0.0096 2.3433 -‐2.84 0.0023 2.84066 -‐3.34 0.0004 3.340109 -‐3.84 0.0001 3.
-‐0.35 0.3632 0.5981 -‐0.85 0.1977 0.9600 -‐1.35 0.0885 1.3909 -‐1.85 0.0322 1.8626 -‐2.35 0.0094 2.3532 -‐2.85 0.0022 2.85064 -‐3.35 0.0004 3.350105 -‐3.85 0.0001 3.
-‐0.36 0.3594 0.6045 -‐0.86 0.1949 0.9680 -‐1.36 0.0869 1.4000 -‐1.86 0.0314 1.8723 -‐2.36 0.0091 2.3631 -‐2.86 0.0021 2.86062 -‐3.36 0.0004 3.360101 -‐3.86 0.0001 3.
-‐0.37 0.3557 0.6109 -‐0.87 0.1922 0.9761 -‐1.37 0.0853 1.4092 -‐1.87 0.0307 1.8819 -‐2.37 0.0089 2.3730 -‐2.87 0.0021 2.87060 -‐3.37 0.0004 3.370097 -‐3.87 0.0001 3.
-‐0.38 0.3520 0.6174 -‐0.88 0.1894 0.9842 -‐1.38 0.0838 1.4183 -‐1.88 0.0301 1.8916 -‐2.38 0.0087 2.3829 -‐2.88 0.0020 2.88058 -‐3.38 0.0004 3.380094 -‐3.88 0.0001 3.
-‐0.39 0.3483 0.6239 -‐0.89 0.1867 0.9923 -‐1.39 0.0823 1.4275 -‐1.89 0.0294 1.9013 -‐2.39 0.0084 2.3928 -‐2.89 0.0019 2.89056 -‐3.39 0.0003 3.390090 -‐3.89 0.0001 3.
-‐0.40 0.3446 0.6304 -‐0.90 0.1841 1.0004 -‐1.40 0.0808 1.4367 -‐1.90 0.0287 1.9111 -‐2.40 0.0082 2.4027 -‐2.90 0.0019 2.90054 -‐3.40 0.0003 3.400087 -‐3.90 0.0000 3.
-‐0.41 0.3409 0.6370 -‐0.91 0.1814 1.0086 -‐1.41 0.0793 1.4459 -‐1.91 0.0281 1.9208 -‐2.41 0.0080 2.4126 -‐2.91 0.0018 2.91052 -‐3.41 0.0003 3.410083 -‐3.91 0.0000 3.
-‐0.42 0.3372 0.6436 -‐0.92 0.1788 1.0168 -‐1.42 0.0778 1.4551 -‐1.92 0.0274 1.9305 -‐2.42 0.0078 2.4226 -‐2.92 0.0018 2.92051 -‐3.42 0.0003 3.420080 -‐3.92 0.0000 3.
-‐0.43 0.3336 0.6503 -‐0.93 0.1762 1.0250 -‐1.43 0.0764 1.4643 -‐1.93 0.0268 1.9402 -‐2.43 0.0075 2.4325 -‐2.93 0.0017 2.93049 -‐3.43 0.0003 3.430077 -‐3.93 0.0000 3.
-‐0.44 0.3300 0.6569 -‐0.94 0.1736 1.0333 -‐1.44 0.0749 1.4736 -‐1.94 0.0262 1.9500 -‐2.44 0.0073 2.4424 -‐2.94 0.0016 2.94047 -‐3.44 0.0003 3.440074 -‐3.94 0.0000 3.
-‐0.45 0.3264 0.6637 -‐0.95 0.1711 1.0416 -‐1.45 0.0735 1.4828 -‐1.95 0.0256 1.9597 -‐2.45 0.0071 2.4523 -‐2.95 0.0016 2.95046 -‐3.45 0.0003 3.450071 -‐3.95 0.0000 3.
-‐0.46 0.3228 0.6704 -‐0.96 0.1685 1.0499 -‐1.46 0.0721 1.4921 -‐1.96 0.0250 1.9694 -‐2.46 0.0069 2.4623 -‐2.96 0.0015 2.96044 -‐3.46 0.0003 3.460069 -‐3.96 0.0000 3.
-‐0.47 0.3192 0.6772 -‐0.97 0.1660 1.0582 -‐1.47 0.0708 1.5014 -‐1.97 0.0244 1.9792 -‐2.47 0.0068 2.4722 -‐2.97 0.0015 2.97042 -‐3.47 0.0003 3.470066 -‐3.97 0.0000 3.
-‐0.48 0.3156 0.6840 -‐0.98 0.1635 1.0665 -‐1.48 0.0694 1.5107 -‐1.98 0.0239 1.9890 -‐2.48 0.0066 2.4821 -‐2.98 0.0014 2.98041 -‐3.48 0.0003 3.480063 -‐3.98 0.0000 3.
-‐0.49 0.3121 0.6909 -‐0.99 0.1611 1.0749 -‐1.49 0.0681 1.5200 -‐1.99 0.0233 1.9987 -‐2.49 0.0064 2.4921 -‐2.99 0.0014 2.99040 -‐3.49 0.0002 3.490061 -‐3.99 0.0000 3.

Understanding the Impact of Climate Change on Agriculture, Study notes of Business Statistics

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k P[u<k] G(k) k P[u<k] G(k) k P[u<k] G(k) k P[u<k] G(k) k P[u<k] G(k) k P[x≤k] G(k) k P[x≤k] G(k) k P[x≤k] G(k)