Cumulative Probabilities for the Standard Normal Distribution (page 1) Cumulative Probabilities for the Standard Normal Distribution Cumulative probability Table entries represent the shaded area in the figure I 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 0 FIRST DIGIT OF Z SECOND DIGIT OF Z FIRST DIGIT OF Z FIRST DIGIT OF Z SECOND DIGIT OF Z FIRST DIGIT OF Z Z 0.00 -3.0 0.0013 0.01 0.0013 0.04 -2.9 0.0019 0.0018 -2.8 0.0026 0.0025 -2.7 0.0035 0.0034 -2.6 -2.5 -2.4 0.0082 0.0080 -2.3 0.0107 0.0104 0.0102 -2.2 0.0139 0.0136 0.0132 0.02 0.03 0.05 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.06 0.07 0.08 0.09 0.0010 0.0010 Z -3.0 Z 0.00 0.0 0.03 0.5120 0.04 0.5160 0.0014 0.0014 -2.9 0.1 0.0020 0.0019 0.0027 0.0026 0.0036 -2.8 0.2 -2.7 0.3 -2.6 0.4 -2.5 0.5 -2.4 0.6 -2.3 0.7 -2.2 0.8 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.1 0.9 -2.0 0.0228 0.0222 0.0217 -1.9 0.0212 0.0207 0.0202 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0197 0.0250 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0192 0.0188 0.0183 0.0244 0.0239 0.0307 0.0301 -2.0 1.0 0.0233 -1.9 1.1 0.0294 -1.8 1.2 -1.7 -1.6 0.0446 0.0436 0.0427 0.0418 0.0409 0.0548 0.0537 0.0526 0.0516 0.0505 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7 1.3 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 1.4 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5 1.5 -1.4 -1.3 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4 1.6 -1.2 -1.1 -1.0 0.1587 0.1562 -0.9 -0.8 -0.7 -0.6 -0.5 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -1.3 1.7 -1.2 1.8 -1.1 1.9 -1.0 2.0 -0.9 2.1 -0.8 2.2 -0.7 2.3 -0.6 2.4 -0.5 2.5 0.01 0.02 0.06 0.5000 0.5040 0.5080 0.5199 0.5239 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 0.05 0.07 0.08 0.09 0.5279 0.5319 0.5359 Z 0.0 0.1 0.2 0.3 0.6844 0.6879 0.4 0.7190 0.7224 0.5 0.7517 0.7549 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 0.9931 0.9932 0.9934 0.9936 2.4 2.5 Print Done Print Done A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. Determine the probability for a randomly selected value from this population 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. a. What is the probability that the value is less than 75? The probability that the value is less than 75 is .0062. (Round to four decimal places as needed.) b. What is the probability that the value is less than 70? The probability that the value is less than 70 is .0013. (Round to four decimal places as needed.) c. What is the probability that the value is more than 115? The probability that the value is more than 115 is (Round to four decimal places as needed.)