I need help with this please Areas under the Normal CurveAreas under the Normal Curve12 05 05.00.01.02.03.04-3.4-3.3-2.8 0.0026 0.00252.05.06.070.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.00030.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005-3.10.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011-2.9 0.0019 0.0018 0.0018 0.0017 0.00160.0016 0.00150.0015 0.0014 0.0014 -2.90.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7-2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6-2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5-2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068-2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192-1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.02500.02440.0239 0.0233 -1.9-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.8-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.04850.0475 0.0465 0.0455 -1.6-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5-1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.4-1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.08530.0838 0.0823 -1.3-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.2-1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.1-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -1.0-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611-0.9-0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.8-0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7-0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.6-0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.5-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.32640.3228 0.3192 0.3156 0.3121 -0.4-0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.3-0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.2-0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.1-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 -0.0.00.01.02.03.04.05.06.07.08.09.08.09Z.040.0003 0.0002 -3.40.0004 0.0003-3.30.0005 0.0005 -3.20.0007 0.0007 -3.10.0010 0.0010 -3.00.00.0066 0.0064 -2.40.0087 0.0084 -2.30.0113 0.0110 -2.20.0146 0.0143 -2.10.0188 0.0183 -2.00.9 0.81591.00.84131.1 0.86431.2 0.88491.3 0.90321.4 0.91921.5 0.93322.12.2.00.01.02.03.060.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.00.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.10.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.20.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.30.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.40.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.50.60.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.60.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.70.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.80.8186 0.8212 0.8238 0.8264 0.8289 0.83150.83400.8365 0.8389 0.90.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.00.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.10.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.20.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.30.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.40.9345 0.9357 0.9370 0.9382 0.9394 0.94060.9418 0.9429 0.9441 1.51.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 1.61.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.71.8 0.9641 0.9649 0.9656 0.9664 0.9671 0,9678 0.9686 0.9693 0.9699 0.9706 1.81.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 1.92.00.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 2.00.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.10.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.22.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0,9909 0.9911 0.9913 0.9916 2.32.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 2.42.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 2.52.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.62.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.72.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.82.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.93.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 3.0.05.07.08.0923.1C3.23.3C¡A3.40.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.10.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.20.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.30.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4Dr2.00.01.02.03.04.05.06.07.08.092 The finished inside diameter of a piston ring is normally distributed with a mean of 8 centimeters and a standarddeviation of 0.02 centimeter. Complete parts (a) through (c) below.Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.(a) What proportion of rings will have inside diameters exceeding 8.042 centimeters?(Round to four decimal places as needed.)(b) What is the probability that a piston ring will have an inside diameter between 7.94 and 8.06 centimeters?(Round to four decimal places as needed.)(c) Below what value of inside diameter will 15% of the piston rings fall?centimeters(Round to three decimal places as needed.)

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From the information, given thatLet X denotes the diameter of a piston ring which follows normal…