1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 1.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608...


A manufacturing process produces a critical part of average length 80 ​millimeters, with a standard deviation of 3 millimeters. All parts deviating by more than 5 millimeters from the mean must be rejected. What percentage of the parts must be​ rejected, on​ average? Assume a normal distribution.



See table for Z values


1.5<br>0.4332<br>0.4345<br>0.4357<br>0.4370<br>0.4382<br>0.4394<br>0.4406<br>0.4418<br>0.4429<br>0.4441<br>1.6<br>0.4452<br>0.4463<br>0.4474<br>0.4484<br>0.4495<br>0.4505<br>0.4515<br>0.4525<br>0.4535<br>0.4545<br>1.7<br>0.4554<br>0.4564<br>0.4573<br>0.4582<br>0.4591<br>0.4599<br>0.4608<br>0.4616<br>0.4625<br>0.4633<br>1.8<br>0.4641<br>0.4649<br>0.4656<br>0.4664<br>0.4671<br>0.4678<br>0.4686<br>0.4693<br>0.4699<br>0.4706<br>1.9<br>0.4713<br>0.4719<br>0.4726<br>0.4732<br>0.4738<br>0.4744<br>0.4750<br>0.4756<br>0.4761<br>0.4767<br>2.0<br>0.4772<br>0.4778<br>0.4783<br>0.4788<br>0.4793<br>0.4798<br>0.4803<br>0.4808<br>0.4812<br>0.4817<br>2.1<br>0.4821<br>0.4826<br>0.4830<br>0.4834<br>0.4838<br>0.4842<br>0.4846<br>0.4850<br>0.4854<br>0.4857<br>2.2<br>0.4861<br>0.4864<br>0.4868<br>0.4871<br>0.4875<br>0.4878<br>0.4881<br>0.4884<br>0.4887<br>0.4890<br>2.3<br>0.4893<br>0.4896<br>0.4898<br>0.4901<br>0.4904<br>0.4906<br>0.4909<br>0.4911<br>0.4913<br>0.4916<br>2.4<br>0.4918<br>0.4920<br>0.4922<br>0.4925<br>0.4927<br>0.4929<br>0.4931<br>0.4932<br>0.4934<br>0.4936<br>2.5<br>0.4938<br>0.4940<br>0.4941<br>0.4943<br>0.4945<br>0.4946<br>0.4948<br>0.4949<br>0.4951<br>0.4952<br>2.6<br>0.4953<br>0.4955<br>0.4956<br>0.4957<br>0.4959<br>0.4960<br>0.4961<br>0.4962<br>0.4963<br>0.4964<br>2.7<br>0.4965<br>0.4966<br>0.4967<br>0.4968<br>0.4969<br>0.4970<br>0.4971<br>0.4972<br>0.4973<br>0.4974<br>2.8<br>0.4974<br>0.4975<br>0.4976<br>0.4977<br>0.4977<br>0.4978<br>0.4979<br>0.4979<br>0.4980<br>0.4981<br>2.9<br>0.4981<br>0.4982<br>0.4982<br>0.4983<br>0.4984<br>0.4984<br>0.4985<br>0.4985<br>0.4986<br>0.4986<br>3.0<br>0.4987<br>0.4987<br>0.4987<br>0.4988<br>0.4988<br>0.4989<br>0.4989<br>0.4989<br>0.4990<br>0.4990<br>3.1<br>0.4990<br>0.4991<br>0.4991<br>0.4991<br>0.4992<br>0.4992<br>0.4992<br>0.4992<br>0.4993<br>0.4993<br>3.2<br>0.4993<br>0.4993<br>0.4994<br>0.4994<br>0.4994<br>0.4994<br>0.4994<br>0.4995<br>0.4995<br>0.4995<br>3.3<br>0.4995<br>0.4995<br>0.4995<br>0.4996<br>0.4996<br>0.4996<br>0.4996<br>0.4996<br>0.4996<br>0.4997<br>3.4<br>0.4997<br>0.4997<br>0.4997<br>0.4997<br>0.4997<br>0.4997<br>0.4997<br>0.4997<br>0.4997<br>0.4998<br>3.5<br>0.4998<br>0.4998<br>0.4998<br>0.4998<br>0.4998<br>0.4998<br>0.4998<br>0.4998<br>0.4998<br>0.4998<br>3.6<br>0.4998<br>0.4998<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>3.7<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>3.8<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>0.4999<br>3.9<br>0.5000<br>0.5000<br>0.5000<br>0.5000<br>0.5000<br>0.5000<br>0.5000<br>0.5000<br>0.5000<br>0.5000<br>.00<br>.01<br>.02<br>.03<br>.04<br>.05<br>.06<br>.07<br>.08<br>.09<br>

Extracted text: 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 1.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 1.8 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 1.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767 2.0 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 2.1 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 2.2 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.4890 2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916 2.4 0.4918 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936 2.5 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952 2.6 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964 2.7 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 2.8 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981 2.9 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986 3.0 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990 3.1 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993 3.2 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.4995 3.3 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 0.4997 3.4 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998 3.5 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 3.6 0.4998 0.4998 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 3.7 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 3.8 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 3.9 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
to z<br>u+ zo<br>(Table Entries Represent the Area under the Standard Normal Curve from 0 to z, z2 0)<br>.00<br>.01<br>.02<br>.03<br>.04<br>.05<br>.06<br>.07<br>.08<br>.09<br>0.0<br>0.0000<br>0.0040<br>0.0080<br>0.0120<br>0.0160<br>0.0199<br>0.0239<br>0.0279<br>0.0319<br>0.0359<br>0.1<br>0.0398<br>0.0438<br>0.0478<br>0.0517<br>0.0557<br>0.0596<br>0.0636<br>0.0675<br>0.0714<br>0.0753<br>0.2<br>0.0793<br>0.0832<br>0.0871<br>0.0910<br>0.0948<br>0.0987<br>0.1026<br>0.1064<br>0.1103<br>0.1141<br>0.3<br>0.1179<br>0.1217<br>0.1255<br>0.1293<br>0.1331<br>0.1368<br>0.1406<br>0.1443<br>0.1480<br>0.1517<br>0.4<br>0.1554<br>0.1591<br>0.1628<br>0.1664<br>0.1700<br>0.1736<br>0.1772<br>0.1808<br>0.1844<br>0.1879<br>0.5<br>0.1915<br>0.1950<br>0.1985<br>0.2019<br>0.2054<br>0.2088<br>0.2123<br>0.2157<br>0.2190<br>0.2224<br>0.6<br>0.2257<br>0.2291<br>0.2324<br>0.2357<br>0.2389<br>0.2422<br>0.2454<br>0.2486<br>0.2517<br>0.2549<br>0.7<br>0.2580<br>0.2611<br>0.2642<br>0.2673<br>0.2704<br>0.2734<br>0.2764<br>0.2794<br>0.2823<br>0.2852<br>0.8<br>0.2881<br>0.2910<br>0.2939<br>0.2967<br>0.2995<br>0.3023<br>0.3051<br>0.3078<br>0.3106<br>0.3133<br>0.9<br>0.3159<br>0.3186<br>0.3212<br>0.3238<br>0.3264<br>0.3289<br>0.3315<br>0.3340<br>0.3365<br>0.3389<br>1.0<br>0.3413<br>0.3438<br>0.3461<br>0.3485<br>0.3508<br>0.3531<br>0.3554<br>0.3577<br>0.3599<br>0.3621<br>1.1<br>0.3643<br>0.3665<br>0.3686<br>0.3708<br>0.3729<br>0.3749<br>0.3770<br>0.3790<br>0.3810<br>0.3830<br>1.2<br>0.3849<br>0.3869<br>0.3888<br>0.3907<br>0.3925<br>0.3944<br>0.3962<br>0.3980<br>0.3997<br>0.4015<br>1.3<br>0.4032<br>0.4049<br>0.4066<br>0.4082<br>0.4099<br>0.4115<br>0.4131<br>0.4147<br>0.4162<br>0.4177<br>1.4<br>0.4192<br>0.4207<br>0.4222<br>0.4236<br>0.4251<br>0.4265<br>0.4279<br>0.4292<br>0.4306<br>0.4319<br>1.5<br>0.4332<br>0.4345<br>0.4357<br>0.4370<br>0.4382<br>0.4394<br>0.4406<br>0.4418<br>0.4429<br>0.4441<br>1.6<br>0.4452<br>0.4463<br>0.4474<br>0.4484<br>0.4495<br>0.4505<br>0.4515<br>0.4525<br>0.4535<br>0.4545<br>1.7<br>0.4554<br>0.4564<br>0.4573<br>0.4582<br>0.4591<br>0.4599<br>0.4608<br>0.4616<br>0.4625<br>0.4633<br>04641<br>O 4640.<br>O 4656.<br>O4664.<br>04671<br>04678<br>0 4686<br>O 4603<br>04600<br>04706.<br>

Extracted text: to z u+ zo (Table Entries Represent the Area under the Standard Normal Curve from 0 to z, z2 0) .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141 0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517 0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879 0.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 0.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 0.8 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 1.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 1.3 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177 1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 1.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 04641 O 4640. O 4656. O4664. 04671 04678 0 4686 O 4603 04600 04706.
Jun 08, 2022
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