Probabilities for the standard normal distribution
Lower-tail: probabilities from -∞ to the z-value
Click
to change the table type (lower or upper tail)
Third digit
| First two digits |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
| -3.0 |
0.001 |
0.001 |
0.001 |
0.001 |
0.001 |
0.001 |
0.001 |
0.001 |
0.001 |
0.001 |
| -2.9 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.001 |
0.001 |
0.001 |
| -2.8 |
0.003 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
| -2.7 |
0.003 |
0.003 |
0.003 |
0.003 |
0.003 |
0.003 |
0.003 |
0.003 |
0.003 |
0.003 |
| -2.6 |
0.005 |
0.005 |
0.004 |
0.004 |
0.004 |
0.004 |
0.004 |
0.004 |
0.004 |
0.004 |
| -2.5 |
0.006 |
0.006 |
0.006 |
0.006 |
0.006 |
0.005 |
0.005 |
0.005 |
0.005 |
0.005 |
| -2.4 |
0.008 |
0.008 |
0.008 |
0.008 |
0.007 |
0.007 |
0.007 |
0.007 |
0.007 |
0.006 |
| -2.3 |
0.011 |
0.010 |
0.010 |
0.010 |
0.010 |
0.009 |
0.009 |
0.009 |
0.009 |
0.008 |
| -2.2 |
0.014 |
0.014 |
0.013 |
0.013 |
0.013 |
0.012 |
0.012 |
0.012 |
0.011 |
0.011 |
| -2.1 |
0.018 |
0.017 |
0.017 |
0.017 |
0.016 |
0.016 |
0.015 |
0.015 |
0.015 |
0.014 |
| -2.0 |
0.023 |
0.022 |
0.022 |
0.021 |
0.021 |
0.020 |
0.020 |
0.019 |
0.019 |
0.018 |
| -1.9 |
0.029 |
0.028 |
0.027 |
0.027 |
0.026 |
0.026 |
0.025 |
0.024 |
0.024 |
0.023 |
| -1.8 |
0.036 |
0.035 |
0.034 |
0.034 |
0.033 |
0.032 |
0.031 |
0.031 |
0.030 |
0.029 |
| -1.7 |
0.045 |
0.044 |
0.043 |
0.042 |
0.041 |
0.040 |
0.039 |
0.038 |
0.038 |
0.037 |
| -1.6 |
0.055 |
0.054 |
0.053 |
0.052 |
0.051 |
0.049 |
0.048 |
0.047 |
0.046 |
0.046 |
| -1.5 |
0.067 |
0.066 |
0.064 |
0.063 |
0.062 |
0.061 |
0.059 |
0.058 |
0.057 |
0.056 |
| -1.4 |
0.081 |
0.079 |
0.078 |
0.076 |
0.075 |
0.074 |
0.072 |
0.071 |
0.069 |
0.068 |
| -1.3 |
0.097 |
0.095 |
0.093 |
0.092 |
0.090 |
0.089 |
0.087 |
0.085 |
0.084 |
0.082 |
| -1.2 |
0.115 |
0.113 |
0.111 |
0.109 |
0.107 |
0.106 |
0.104 |
0.102 |
0.100 |
0.099 |
| -1.1 |
0.136 |
0.133 |
0.131 |
0.129 |
0.127 |
0.125 |
0.123 |
0.121 |
0.119 |
0.117 |
| -1.0 |
0.159 |
0.156 |
0.154 |
0.152 |
0.149 |
0.147 |
0.145 |
0.142 |
0.140 |
0.138 |
| -0.9 |
0.184 |
0.181 |
0.179 |
0.176 |
0.174 |
0.171 |
0.169 |
0.166 |
0.164 |
0.161 |
| -0.8 |
0.212 |
0.209 |
0.206 |
0.203 |
0.200 |
0.198 |
0.195 |
0.192 |
0.189 |
0.187 |
| -0.7 |
0.242 |
0.239 |
0.236 |
0.233 |
0.230 |
0.227 |
0.224 |
0.221 |
0.218 |
0.215 |
| -0.6 |
0.274 |
0.271 |
0.268 |
0.264 |
0.261 |
0.258 |
0.255 |
0.251 |
0.248 |
0.245 |
| -0.5 |
0.309 |
0.305 |
0.302 |
0.298 |
0.295 |
0.291 |
0.288 |
0.284 |
0.281 |
0.278 |
| -0.4 |
0.345 |
0.341 |
0.337 |
0.334 |
0.330 |
0.326 |
0.323 |
0.319 |
0.316 |
0.312 |
| -0.3 |
0.382 |
0.378 |
0.374 |
0.371 |
0.367 |
0.363 |
0.359 |
0.356 |
0.352 |
0.348 |
| -0.2 |
0.421 |
0.417 |
0.413 |
0.409 |
0.405 |
0.401 |
0.397 |
0.394 |
0.390 |
0.386 |
| -0.1 |
0.460 |
0.456 |
0.452 |
0.448 |
0.444 |
0.440 |
0.436 |
0.433 |
0.429 |
0.425 |
| 0.0 |
0.500 |
0.504 |
0.508 |
0.512 |
0.516 |
0.520 |
0.524 |
0.528 |
0.532 |
0.536 |
| 0.1 |
0.540 |
0.544 |
0.548 |
0.552 |
0.556 |
0.560 |
0.564 |
0.567 |
0.571 |
0.575 |
| 0.2 |
0.579 |
0.583 |
0.587 |
0.591 |
0.595 |
0.599 |
0.603 |
0.606 |
0.610 |
0.614 |
| 0.3 |
0.618 |
0.622 |
0.626 |
0.629 |
0.633 |
0.637 |
0.641 |
0.644 |
0.648 |
0.652 |
| 0.4 |
0.655 |
0.659 |
0.663 |
0.666 |
0.670 |
0.674 |
0.677 |
0.681 |
0.684 |
0.688 |
| 0.5 |
0.691 |
0.695 |
0.698 |
0.702 |
0.705 |
0.709 |
0.712 |
0.716 |
0.719 |
0.722 |
| 0.6 |
0.726 |
0.729 |
0.732 |
0.736 |
0.739 |
0.742 |
0.745 |
0.749 |
0.752 |
0.755 |
| 0.7 |
0.758 |
0.761 |
0.764 |
0.767 |
0.770 |
0.773 |
0.776 |
0.779 |
0.782 |
0.785 |
| 0.8 |
0.788 |
0.791 |
0.794 |
0.797 |
0.800 |
0.802 |
0.805 |
0.808 |
0.811 |
0.813 |
| 0.9 |
0.816 |
0.819 |
0.821 |
0.824 |
0.826 |
0.829 |
0.831 |
0.834 |
0.836 |
0.839 |
| 1.0 |
0.841 |
0.844 |
0.846 |
0.848 |
0.851 |
0.853 |
0.855 |
0.858 |
0.860 |
0.862 |
| 1.1 |
0.864 |
0.867 |
0.869 |
0.871 |
0.873 |
0.875 |
0.877 |
0.879 |
0.881 |
0.883 |
| 1.2 |
0.885 |
0.887 |
0.889 |
0.891 |
0.893 |
0.894 |
0.896 |
0.898 |
0.900 |
0.901 |
| 1.3 |
0.903 |
0.905 |
0.907 |
0.908 |
0.910 |
0.911 |
0.913 |
0.915 |
0.916 |
0.918 |
| 1.4 |
0.919 |
0.921 |
0.922 |
0.924 |
0.925 |
0.926 |
0.928 |
0.929 |
0.931 |
0.932 |
| 1.5 |
0.933 |
0.934 |
0.936 |
0.937 |
0.938 |
0.939 |
0.941 |
0.942 |
0.943 |
0.944 |
| 1.6 |
0.945 |
0.946 |
0.947 |
0.948 |
0.949 |
0.951 |
0.952 |
0.953 |
0.954 |
0.954 |
| 1.7 |
0.955 |
0.956 |
0.957 |
0.958 |
0.959 |
0.960 |
0.961 |
0.962 |
0.962 |
0.963 |
| 1.8 |
0.964 |
0.965 |
0.966 |
0.966 |
0.967 |
0.968 |
0.969 |
0.969 |
0.970 |
0.971 |
| 1.9 |
0.971 |
0.972 |
0.973 |
0.973 |
0.974 |
0.974 |
0.975 |
0.976 |
0.976 |
0.977 |
| 2.0 |
0.977 |
0.978 |
0.978 |
0.979 |
0.979 |
0.980 |
0.980 |
0.981 |
0.981 |
0.982 |
| 2.1 |
0.982 |
0.983 |
0.983 |
0.983 |
0.984 |
0.984 |
0.985 |
0.985 |
0.985 |
0.986 |
| 2.2 |
0.986 |
0.986 |
0.987 |
0.987 |
0.987 |
0.988 |
0.988 |
0.988 |
0.989 |
0.989 |
| 2.3 |
0.989 |
0.990 |
0.990 |
0.990 |
0.990 |
0.991 |
0.991 |
0.991 |
0.991 |
0.992 |
| 2.4 |
0.992 |
0.992 |
0.992 |
0.992 |
0.993 |
0.993 |
0.993 |
0.993 |
0.993 |
0.994 |
| 2.5 |
0.994 |
0.994 |
0.994 |
0.994 |
0.994 |
0.995 |
0.995 |
0.995 |
0.995 |
0.995 |
| 2.6 |
0.995 |
0.995 |
0.996 |
0.996 |
0.996 |
0.996 |
0.996 |
0.996 |
0.996 |
0.996 |
| 2.7 |
0.997 |
0.997 |
0.997 |
0.997 |
0.997 |
0.997 |
0.997 |
0.997 |
0.997 |
0.997 |
| 2.8 |
0.997 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
| 2.9 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.999 |
0.999 |
0.999 |
| 3.0 |
0.999 |
0.999 |
0.999 |
0.999 |
0.999 |
0.999 |
0.999 |
0.999 |
0.999 |
0.999 |
| First two digits |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
| -3.0 |
0.999 |
0.999 |
0.999 |
0.999 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
| -2.9 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
0.998 |
| -2.8 |
0.997 |
0.997 |
0.997 |
0.997 |
0.997 |
0.997 |
0.997 |
0.997 |
0.997 |
0.997 |
| -2.7 |
0.997 |
0.996 |
0.996 |
0.996 |
0.996 |
0.996 |
0.996 |
0.996 |
0.996 |
0.995 |
| -2.6 |
0.995 |
0.995 |
0.995 |
0.995 |
0.995 |
0.995 |
0.994 |
0.994 |
0.994 |
0.994 |
| -2.5 |
0.994 |
0.994 |
0.993 |
0.993 |
0.993 |
0.993 |
0.993 |
0.992 |
0.992 |
0.992 |
| -2.4 |
0.992 |
0.992 |
0.991 |
0.991 |
0.991 |
0.991 |
0.990 |
0.990 |
0.990 |
0.990 |
| -2.3 |
0.989 |
0.989 |
0.989 |
0.988 |
0.988 |
0.988 |
0.987 |
0.987 |
0.987 |
0.986 |
| -2.2 |
0.986 |
0.986 |
0.985 |
0.985 |
0.985 |
0.984 |
0.984 |
0.983 |
0.983 |
0.983 |
| -2.1 |
0.982 |
0.982 |
0.981 |
0.981 |
0.980 |
0.980 |
0.979 |
0.979 |
0.978 |
0.978 |
| -2.0 |
0.977 |
0.977 |
0.976 |
0.976 |
0.975 |
0.974 |
0.974 |
0.973 |
0.973 |
0.972 |
| -1.9 |
0.971 |
0.971 |
0.970 |
0.969 |
0.969 |
0.968 |
0.967 |
0.966 |
0.966 |
0.965 |
| -1.8 |
0.964 |
0.963 |
0.962 |
0.962 |
0.961 |
0.960 |
0.959 |
0.958 |
0.957 |
0.956 |
| -1.7 |
0.955 |
0.954 |
0.954 |
0.953 |
0.952 |
0.951 |
0.949 |
0.948 |
0.947 |
0.946 |
| -1.6 |
0.945 |
0.944 |
0.943 |
0.942 |
0.941 |
0.939 |
0.938 |
0.937 |
0.936 |
0.934 |
| -1.5 |
0.933 |
0.932 |
0.931 |
0.929 |
0.928 |
0.926 |
0.925 |
0.924 |
0.922 |
0.921 |
| -1.4 |
0.919 |
0.918 |
0.916 |
0.915 |
0.913 |
0.911 |
0.910 |
0.908 |
0.907 |
0.905 |
| -1.3 |
0.903 |
0.901 |
0.900 |
0.898 |
0.896 |
0.894 |
0.893 |
0.891 |
0.889 |
0.887 |
| -1.2 |
0.885 |
0.883 |
0.881 |
0.879 |
0.877 |
0.875 |
0.873 |
0.871 |
0.869 |
0.867 |
| -1.1 |
0.864 |
0.862 |
0.860 |
0.858 |
0.855 |
0.853 |
0.851 |
0.848 |
0.846 |
0.844 |
| -1.0 |
0.841 |
0.839 |
0.836 |
0.834 |
0.831 |
0.829 |
0.826 |
0.824 |
0.821 |
0.819 |
| -0.9 |
0.816 |
0.813 |
0.811 |
0.808 |
0.805 |
0.802 |
0.800 |
0.797 |
0.794 |
0.791 |
| -0.8 |
0.788 |
0.785 |
0.782 |
0.779 |
0.776 |
0.773 |
0.770 |
0.767 |
0.764 |
0.761 |
| -0.7 |
0.758 |
0.755 |
0.752 |
0.749 |
0.745 |
0.742 |
0.739 |
0.736 |
0.732 |
0.729 |
| -0.6 |
0.726 |
0.722 |
0.719 |
0.716 |
0.712 |
0.709 |
0.705 |
0.702 |
0.698 |
0.695 |
| -0.5 |
0.691 |
0.688 |
0.684 |
0.681 |
0.677 |
0.674 |
0.670 |
0.666 |
0.663 |
0.659 |
| -0.4 |
0.655 |
0.652 |
0.648 |
0.644 |
0.641 |
0.637 |
0.633 |
0.629 |
0.626 |
0.622 |
| -0.3 |
0.618 |
0.614 |
0.610 |
0.606 |
0.603 |
0.599 |
0.595 |
0.591 |
0.587 |
0.583 |
| -0.2 |
0.579 |
0.575 |
0.571 |
0.567 |
0.564 |
0.560 |
0.556 |
0.552 |
0.548 |
0.544 |
| -0.1 |
0.540 |
0.536 |
0.532 |
0.528 |
0.524 |
0.520 |
0.516 |
0.512 |
0.508 |
0.504 |
| 0.0 |
0.500 |
0.496 |
0.492 |
0.488 |
0.484 |
0.480 |
0.476 |
0.472 |
0.468 |
0.464 |
| 0.1 |
0.460 |
0.456 |
0.452 |
0.448 |
0.444 |
0.440 |
0.436 |
0.433 |
0.429 |
0.425 |
| 0.2 |
0.421 |
0.417 |
0.413 |
0.409 |
0.405 |
0.401 |
0.397 |
0.394 |
0.390 |
0.386 |
| 0.3 |
0.382 |
0.378 |
0.374 |
0.371 |
0.367 |
0.363 |
0.359 |
0.356 |
0.352 |
0.348 |
| 0.4 |
0.345 |
0.341 |
0.337 |
0.334 |
0.330 |
0.326 |
0.323 |
0.319 |
0.316 |
0.312 |
| 0.5 |
0.309 |
0.305 |
0.302 |
0.298 |
0.295 |
0.291 |
0.288 |
0.284 |
0.281 |
0.278 |
| 0.6 |
0.274 |
0.271 |
0.268 |
0.264 |
0.261 |
0.258 |
0.255 |
0.251 |
0.248 |
0.245 |
| 0.7 |
0.242 |
0.239 |
0.236 |
0.233 |
0.230 |
0.227 |
0.224 |
0.221 |
0.218 |
0.215 |
| 0.8 |
0.212 |
0.209 |
0.206 |
0.203 |
0.200 |
0.198 |
0.195 |
0.192 |
0.189 |
0.187 |
| 0.9 |
0.184 |
0.181 |
0.179 |
0.176 |
0.174 |
0.171 |
0.169 |
0.166 |
0.164 |
0.161 |
| 1.0 |
0.159 |
0.156 |
0.154 |
0.152 |
0.149 |
0.147 |
0.145 |
0.142 |
0.140 |
0.138 |
| 1.1 |
0.136 |
0.133 |
0.131 |
0.129 |
0.127 |
0.125 |
0.123 |
0.121 |
0.119 |
0.117 |
| 1.2 |
0.115 |
0.113 |
0.111 |
0.109 |
0.107 |
0.106 |
0.104 |
0.102 |
0.100 |
0.099 |
| 1.3 |
0.097 |
0.095 |
0.093 |
0.092 |
0.090 |
0.089 |
0.087 |
0.085 |
0.084 |
0.082 |
| 1.4 |
0.081 |
0.079 |
0.078 |
0.076 |
0.075 |
0.074 |
0.072 |
0.071 |
0.069 |
0.068 |
| 1.5 |
0.067 |
0.066 |
0.064 |
0.063 |
0.062 |
0.061 |
0.059 |
0.058 |
0.057 |
0.056 |
| 1.6 |
0.055 |
0.054 |
0.053 |
0.052 |
0.051 |
0.049 |
0.048 |
0.047 |
0.046 |
0.046 |
| 1.7 |
0.045 |
0.044 |
0.043 |
0.042 |
0.041 |
0.040 |
0.039 |
0.038 |
0.038 |
0.037 |
| 1.8 |
0.036 |
0.035 |
0.034 |
0.034 |
0.033 |
0.032 |
0.031 |
0.031 |
0.030 |
0.029 |
| 1.9 |
0.029 |
0.028 |
0.027 |
0.027 |
0.026 |
0.026 |
0.025 |
0.024 |
0.024 |
0.023 |
| 2.0 |
0.023 |
0.022 |
0.022 |
0.021 |
0.021 |
0.020 |
0.020 |
0.019 |
0.019 |
0.018 |
| 2.1 |
0.018 |
0.017 |
0.017 |
0.017 |
0.016 |
0.016 |
0.015 |
0.015 |
0.015 |
0.014 |
| 2.2 |
0.014 |
0.014 |
0.013 |
0.013 |
0.013 |
0.012 |
0.012 |
0.012 |
0.011 |
0.011 |
| 2.3 |
0.011 |
0.010 |
0.010 |
0.010 |
0.010 |
0.009 |
0.009 |
0.009 |
0.009 |
0.008 |
| 2.4 |
0.008 |
0.008 |
0.008 |
0.008 |
0.007 |
0.007 |
0.007 |
0.007 |
0.007 |
0.006 |
| 2.5 |
0.006 |
0.006 |
0.006 |
0.006 |
0.006 |
0.005 |
0.005 |
0.005 |
0.005 |
0.005 |
| 2.6 |
0.005 |
0.005 |
0.004 |
0.004 |
0.004 |
0.004 |
0.004 |
0.004 |
0.004 |
0.004 |
| 2.7 |
0.003 |
0.003 |
0.003 |
0.003 |
0.003 |
0.003 |
0.003 |
0.003 |
0.003 |
0.003 |
| 2.8 |
0.003 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
| 2.9 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.002 |
0.001 |
0.001 |
0.001 |
| 3.0 |
0.001 |
0.001 |
0.001 |
0.001 |
0.001 |
0.001 |
0.001 |
0.001 |
0.001 |
0.001 |