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Standard Normal (Z)
Table3 |
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المساحة المتجمعة تحت المنحنى الطبيعي لقيم Z
الموجبة من صفر إلى 3.99 |
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المساحة لقيم Z السالبة = 1– المساحة لنفس
قيمة Z الموجبة، Z = – 1.2 ← المساحة = 1– 0.8894 = 0.1106 |
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Z |
Area |
Z |
Area |
Z |
Area |
Z |
Area |
Z |
Area |
Z |
Area |
Z |
Area |
Z |
Area |
|
P(Z) |
P(Z) |
P(Z) |
P(Z) |
P(Z) |
P(Z) |
P(Z) |
P(Z) |
|
0 |
0.5000 |
0.5 |
0.6915 |
1 |
0.8413 |
1.5 |
0.9332 |
2 |
0.9772 |
2.5 |
0.9938 |
3 |
0.9987 |
3.5 |
0.9998 |
|
0.01 |
0.5040 |
0.51 |
0.6950 |
1.01 |
0.8438 |
1.51 |
0.9345 |
2.01 |
0.9778 |
2.51 |
0.9940 |
3.01 |
0.9987 |
3.51 |
0.9998 |
|
0.02 |
0.5080 |
0.52 |
0.6985 |
1.02 |
0.8461 |
1.52 |
0.9357 |
2.02 |
0.9783 |
2.52 |
0.9941 |
3.02 |
0.9987 |
3.52 |
0.9998 |
|
0.03 |
0.5120 |
0.53 |
0.7019 |
1.03 |
0.8485 |
1.53 |
0.9370 |
2.03 |
0.9788 |
2.53 |
0.9943 |
3.03 |
0.9988 |
3.53 |
0.9998 |
|
0.04 |
0.5160 |
0.54 |
0.7054 |
1.04 |
0.8508 |
1.54 |
0.9382 |
2.04 |
0.9793 |
2.54 |
0.9945 |
3.04 |
0.9988 |
3.54 |
0.9998 |
|
0.05 |
0.5199 |
0.55 |
0.7088 |
1.05 |
0.8531 |
1.55 |
0.9394 |
2.05 |
0.9798 |
2.55 |
0.9946 |
3.05 |
0.9989 |
3.55 |
0.9998 |
|
0.06 |
0.5239 |
0.56 |
0.7123 |
1.06 |
0.8554 |
1.56 |
0.9406 |
2.06 |
0.9803 |
2.56 |
0.9948 |
3.06 |
0.9989 |
3.56 |
0.9998 |
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0.07 |
0.5279 |
0.57 |
0.7157 |
1.07 |
0.8577 |
1.57 |
0.9418 |
2.07 |
0.9808 |
2.57 |
0.9949 |
3.07 |
0.9989 |
3.57 |
0.9998 |
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0.08 |
0.5319 |
0.58 |
0.7190 |
1.08 |
0.8599 |
1.58 |
0.9429 |
2.08 |
0.9812 |
2.58 |
0.9951 |
3.08 |
0.9990 |
3.58 |
0.9998 |
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0.09 |
0.5359 |
0.59 |
0.7224 |
1.09 |
0.8621 |
1.59 |
0.9441 |
2.09 |
0.9817 |
2.59 |
0.9952 |
3.09 |
0.9990 |
3.59 |
0.9998 |
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0.1 |
0.5398 |
0.6 |
0.7257 |
1.1 |
0.8643 |
1.6 |
0.9452 |
2.1 |
0.9821 |
2.6 |
0.9953 |
3.1 |
0.9990 |
3.6 |
0.9998 |
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0.11 |
0.5438 |
0.61 |
0.7291 |
1.11 |
0.8665 |
1.61 |
0.9463 |
2.11 |
0.9826 |
2.61 |
0.9955 |
3.11 |
0.9991 |
3.61 |
0.9998 |
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0.12 |
0.5478 |
0.62 |
0.7324 |
1.12 |
0.8686 |
1.62 |
0.9474 |
2.12 |
0.9830 |
2.62 |
0.9956 |
3.12 |
0.9991 |
3.62 |
0.9999 |
|
0.13 |
0.5517 |
0.63 |
0.7357 |
1.13 |
0.8708 |
1.63 |
0.9484 |
2.13 |
0.9834 |
2.63 |
0.9957 |
3.13 |
0.9991 |
3.63 |
0.9999 |
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0.14 |
0.5557 |
0.64 |
0.7389 |
1.14 |
0.8729 |
1.64 |
0.9495 |
2.14 |
0.9838 |
2.64 |
0.9959 |
3.14 |
0.9992 |
3.64 |
0.9999 |
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0.15 |
0.5596 |
0.65 |
0.7422 |
1.15 |
0.8749 |
1.65 |
0.9505 |
2.15 |
0.9842 |
2.65 |
0.9960 |
3.15 |
0.9992 |
3.65 |
0.9999 |
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0.16 |
0.5636 |
0.66 |
0.7454 |
1.16 |
0.8770 |
1.66 |
0.9515 |
2.16 |
0.9846 |
2.66 |
0.9961 |
3.16 |
0.9992 |
3.66 |
0.9999 |
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0.17 |
0.5675 |
0.67 |
0.7486 |
1.17 |
0.8790 |
1.67 |
0.9525 |
2.17 |
0.9850 |
2.67 |
0.9962 |
3.17 |
0.9992 |
3.67 |
0.9999 |
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0.18 |
0.5714 |
0.68 |
0.7517 |
1.18 |
0.8810 |
1.68 |
0.9535 |
2.18 |
0.9854 |
2.68 |
0.9963 |
3.18 |
0.9993 |
3.68 |
0.9999 |
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0.19 |
0.5753 |
0.69 |
0.7549 |
1.19 |
0.8830 |
1.69 |
0.9545 |
2.19 |
0.9857 |
2.69 |
0.9964 |
3.19 |
0.9993 |
3.69 |
0.9999 |
|
0.2 |
0.5793 |
0.7 |
0.7580 |
1.2 |
0.8849 |
1.7 |
0.9554 |
2.2 |
0.9861 |
2.7 |
0.9965 |
3.2 |
0.9993 |
3.7 |
0.9999 |
|
0.21 |
0.5832 |
0.71 |
0.7611 |
1.21 |
0.8869 |
1.71 |
0.9564 |
2.21 |
0.9864 |
2.71 |
0.9966 |
3.21 |
0.9993 |
3.71 |
0.9999 |
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0.22 |
0.5871 |
0.72 |
0.7642 |
1.22 |
0.8888 |
1.72 |
0.9573 |
2.22 |
0.9868 |
2.72 |
0.9967 |
3.22 |
0.9994 |
3.72 |
0.9999 |
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0.23 |
0.5910 |
0.73 |
0.7673 |
1.23 |
0.8907 |
1.73 |
0.9582 |
2.23 |
0.9871 |
2.73 |
0.9968 |
3.23 |
0.9994 |
3.73 |
0.9999 |
|
0.24 |
0.5948 |
0.74 |
0.7704 |
1.24 |
0.8925 |
1.74 |
0.9591 |
2.24 |
0.9875 |
2.74 |
0.9969 |
3.24 |
0.9994 |
3.74 |
0.9999 |
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0.25 |
0.5987 |
0.75 |
0.7734 |
1.25 |
0.8944 |
1.75 |
0.9599 |
2.25 |
0.9878 |
2.75 |
0.9970 |
3.25 |
0.9994 |
3.75 |
0.9999 |
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0.26 |
0.6026 |
0.76 |
0.7764 |
1.26 |
0.8962 |
1.76 |
0.9608 |
2.26 |
0.9881 |
2.76 |
0.9971 |
3.26 |
0.9994 |
3.76 |
0.9999 |
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0.27 |
0.6064 |
0.77 |
0.7794 |
1.27 |
0.8980 |
1.77 |
0.9616 |
2.27 |
0.9884 |
2.77 |
0.9972 |
3.27 |
0.9995 |
3.77 |
0.9999 |
|
0.28 |
0.6103 |
0.78 |
0.7823 |
1.28 |
0.8997 |
1.78 |
0.9625 |
2.28 |
0.9887 |
2.78 |
0.9973 |
3.28 |
0.9995 |
3.78 |
0.9999 |
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0.29 |
0.6141 |
0.79 |
0.7852 |
1.29 |
0.9015 |
1.79 |
0.9633 |
2.29 |
0.9890 |
2.79 |
0.9974 |
3.29 |
0.9995 |
3.79 |
0.9999 |
|
0.3 |
0.6179 |
0.8 |
0.7881 |
1.3 |
0.9032 |
1.8 |
0.9641 |
2.3 |
0.9893 |
2.8 |
0.9974 |
3.3 |
0.9995 |
3.8 |
0.9999 |
|
0.31 |
0.6217 |
0.81 |
0.7910 |
1.31 |
0.9049 |
1.81 |
0.9649 |
2.31 |
0.9896 |
2.81 |
0.9975 |
3.31 |
0.9995 |
3.81 |
0.9999 |
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0.32 |
0.6255 |
0.82 |
0.7939 |
1.32 |
0.9066 |
1.82 |
0.9656 |
2.32 |
0.9898 |
2.82 |
0.9976 |
3.32 |
0.9995 |
3.82 |
0.9999 |
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0.33 |
0.6293 |
0.83 |
0.7967 |
1.33 |
0.9082 |
1.83 |
0.9664 |
2.33 |
0.9901 |
2.83 |
0.9977 |
3.33 |
0.9996 |
3.83 |
0.9999 |
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0.34 |
0.6331 |
0.84 |
0.7995 |
1.34 |
0.9099 |
1.84 |
0.9671 |
2.34 |
0.9904 |
2.84 |
0.9977 |
3.34 |
0.9996 |
3.84 |
0.9999 |
|
0.35 |
0.6368 |
0.85 |
0.8023 |
1.35 |
0.9115 |
1.85 |
0.9678 |
2.35 |
0.9906 |
2.85 |
0.9978 |
3.35 |
0.9996 |
3.85 |
0.9999 |
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0.36 |
0.6406 |
0.86 |
0.8051 |
1.36 |
0.9131 |
1.86 |
0.9686 |
2.36 |
0.9909 |
2.86 |
0.9979 |
3.36 |
0.9996 |
3.86 |
0.9999 |
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0.37 |
0.6443 |
0.87 |
0.8078 |
1.37 |
0.9147 |
1.87 |
0.9693 |
2.37 |
0.9911 |
2.87 |
0.9979 |
3.37 |
0.9996 |
3.87 |
0.9999 |
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0.38 |
0.6480 |
0.88 |
0.8106 |
1.38 |
0.9162 |
1.88 |
0.9699 |
2.38 |
0.9913 |
2.88 |
0.9980 |
3.38 |
0.9996 |
3.88 |
0.9999 |
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0.39 |
0.6517 |
0.89 |
0.8133 |
1.39 |
0.9177 |
1.89 |
0.9706 |
2.39 |
0.9916 |
2.89 |
0.9981 |
3.39 |
0.9997 |
3.89 |
0.9999 |
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0.4 |
0.6554 |
0.9 |
0.8159 |
1.4 |
0.9192 |
1.9 |
0.9713 |
2.4 |
0.9918 |
2.9 |
0.9981 |
3.4 |
0.9997 |
3.9 |
1.0000 |
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0.41 |
0.6591 |
0.91 |
0.8186 |
1.41 |
0.9207 |
1.91 |
0.9719 |
2.41 |
0.9920 |
2.91 |
0.9982 |
3.41 |
0.9997 |
3.91 |
1.0000 |
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0.42 |
0.6628 |
0.92 |
0.8212 |
1.42 |
0.9222 |
1.92 |
0.9726 |
2.42 |
0.9922 |
2.92 |
0.9982 |
3.42 |
0.9997 |
3.92 |
1.0000 |
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0.43 |
0.6664 |
0.93 |
0.8238 |
1.43 |
0.9236 |
1.93 |
0.9732 |
2.43 |
0.9925 |
2.93 |
0.9983 |
3.43 |
0.9997 |
3.93 |
1.0000 |
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0.44 |
0.6700 |
0.94 |
0.8264 |
1.44 |
0.9251 |
1.94 |
0.9738 |
2.44 |
0.9927 |
2.94 |
0.9984 |
3.44 |
0.9997 |
3.94 |
1.0000 |
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0.45 |
0.6736 |
0.95 |
0.8289 |
1.45 |
0.9265 |
1.95 |
0.9744 |
2.45 |
0.9929 |
2.95 |
0.9984 |
3.45 |
0.9997 |
3.95 |
1.0000 |
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0.46 |
0.6772 |
0.96 |
0.8315 |
1.46 |
0.9279 |
1.96 |
0.9750 |
2.46 |
0.9931 |
2.96 |
0.9985 |
3.46 |
0.9997 |
3.96 |
1.0000 |
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0.47 |
0.6808 |
0.97 |
0.8340 |
1.47 |
0.9292 |
1.97 |
0.9756 |
2.47 |
0.9932 |
2.97 |
0.9985 |
3.47 |
0.9997 |
3.97 |
1.0000 |
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0.48 |
0.6844 |
0.98 |
0.8365 |
1.48 |
0.9306 |
1.98 |
0.9761 |
2.48 |
0.9934 |
2.98 |
0.9986 |
3.48 |
0.9997 |
3.98 |
1.0000 |
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0.49 |
0.6879 |
0.99 |
0.8389 |
1.49 |
0.9319 |
1.99 |
0.9767 |
2.49 |
0.9936 |
2.99 |
0.9986 |
3.49 |
0.9998 |
3.99 |
1.0000 |
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