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 Z 0.00 -3.0 0.01 0.02 0.0013 0.0013 0.0013 0.03 0.0012 0.04 0.0012 0.05 0.06 0.0011 0.0011 0.07 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.08 0.0011 0.0010 0.0014 0.09 Z 0.0 0.0010 -3.0 0.1 0.0014 -2.9 0.2 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8 0.3 -2.7 -2.6 -2.5 0.0035 0.0034 0.0033 0.0032 0.0043 0.0041 0.0040 0.0039 0.0057 0.0055 0.0054 0.0052 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7 0.4 -2.4 0.0047 0.0045 0.0044 0.0062 0.0060 0.0059 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0038 0.0037 0.0036 0.0051 0.0049 0.0048 0.0066 0.0064 -2.6 0.5 -2.5 0.6 -2.4 0.7 -2.3 -2.2 0.0107 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 0.0179 0.0174 0.0170 0.0166 0.0162 0.0228 0.0222 0.0287 0.0281 0.0274 0.0268 0.0262 0.0359 0.0351 0.0344 0.0336 0.0329 0.0446 0.0436 0.0427 0.0418 0.0409 0.0548 0.0537 0.0526 0.0516 0.0505 0.0217 0.0212 0.0207 -1.5 -1.4 -1.3 -1.2 -1.1 0.0322 0.0314 0.0307 0.0401 0.0392 0.0384 0.0495 0.0485 0.0475 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 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 0.1020 0.1003 0.0985 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.0158 0.0154 0.0150 0.0146 0.0143 0.0202 0.0197 0.0192 0.0188 0.0183 0.0256 0.0250 0.0244 0.0239 0.0233 0.0301 0.0375 0.0465 0.0455 -2.3 0.8 -2.2 0.9 -2.1 1.0 -2.0 1.1 -1.9 1.2 0.0294 -1.8 1.3 0.9066 0.0367 -1.7 1.4 -1.6 1.5 -1.5 1.6 -1.4 1.7 -1.3 1.8 0.1056 0.1038 -1.2 1.9 -1.1 2.0 -1.0 -0.9 -0.8 -0.7 -0.6 0.1587 0.1562 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 -1.0 2.1 -0.9 2.2 -0.8 2.3 -0.7 2.4 -0.6 2.5 0.01 0.02 0.03 0.04 0.5000 0.5040 0.5080 0.5120 0.5160 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 0.6179 0.6217 0.6255 0.6293 0.6331 0.6554 0.6591 0.6628 0.6664 0.6700 0.6915 0.6950 0.6985 0.7019 0.7054 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 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 0.9082 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 0.9931 0.9932 0.9934 0.9936 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 0.05 0.06 0.07 0.5199 0.5239 0.5279 0.08 0.09 0.5319 0.5359 Z 0.0 0.1 0.5987 0.6026 0.6064 0.6103 0.6141 0.6368 0.6406 0.6443 0.6480 0.6517 0.6736 0.6772 0.6808 0.6844 0.6879 0.7088 0.7123 0.7157 0.7190 0.7224 0.2 0.3 0.4 0.5 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 2.4 2.5 Print Done Print Done A random variable follows the normal probability distribution with a mean of 136 and a standard deviation of 22. Complete 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 a randomly selected value from this population is between 115 and 146? .5025 (Round to four decimal places as needed.) b) What is the probability that a randomly selected value from this population is between 140 and 174? .3868 (Round to four decimal places as needed.) c) What is the probability that a randomly selected value from this population is between 85 and 110? (Round to four decimal places as needed.)