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Probability; 1000 Ω resistors with 5% tolerance are produced in a production line. The X random variable represents the value of a resistor. If X random variable is N(1000,2500). What is the probability that a randomly selected resistor fails? (Hint: Use the following table)

Probability; 1000 Ω resistors with 5% tolerance are produced in a production line. The X random variable represents the value of a resistor. If X random variable is N(1000,2500). What is the probability that a randomly selected resistor fails? (Hint: Use the following table)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterA: Appendix
SectionA.3: Inequalities
Problem 11E
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Probability;

1000 Ω resistors with 5% tolerance are produced in a production line. The X random variable represents the value of a resistor. If X random variable is N(1000,2500). What is the probability that a randomly selected resistor fails?

(Hint: Use the following table)

STANDARD NORMAL TABLE (Z) Entries in the table give the area under the curve between the mean and z standard deviations above the mean. For example, for z=1.25 the area under the curve between the mean (0) and z is 0.3944. 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.0000 0.0040 0.0438 0.0080 0.0120 0.0160 0.0190 0.0239 0.0279 0.0319 0.0359 0.0398 0.2 0.0793 0.0832 0.0871 0.1179 0.1554 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141 0.3 0.4 0.5 0.6 0.1217 0.1255 0.1293 0.1331 0.1628 0.1664 0.1700 0.1368 0.1406 0.1443 0.1480 0.1517 0.1591 0.1736 0.1772 0.1808 0.1844 0.1879 0.1915 0.2257 0.1950 0.2291 0.1985 0.2019 0.2054 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 0.2642 0.2673 0.2704 0.2939 0.2969 0.2995 0.3212 0.3238 0.3264 0.2088 0.2123 0.2157 0.2190 0.2224 0.7 0.8 0.2881 0.9 0.2580 0.2611 0.2734 0.2764 0.2794 0.2823 0.2852 0.2910 0.3186 0.3023 0.3289 0.3051 0.3315 0.3340 0.3365 0.3389 0.3078 0.3106 0.3133 0.3159 1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3513 0.3554 0.3577 0.3529 0.3621 0.3770 0.3790 0.3810 0.3830 0.3944 0.3962 0.3980 0.3997 0.4015 0.4147 0.4162 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 1.2 0.3849 1.3 1.4 0.4192 1.5 0.3869 0.3888 0.3907 0.3925 0.4049 0.4207 0.4345 0.4463 0.4032 0.4066 0.4082 0.4099 0.4115 0.4131 0.4177 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 0.4332 1.6 0.4452 1.7 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 0.4554 1.8 0.4641 1.9 2.0 0.4772 2.1 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 0.4719 0.4778 0.4713 0.4726 0.4732 0.4738 0.4783 0.4788 0.4793 0.4744 0.4750 0.4756 0.4761 0.4803 0.4808 0.4812 0.4817 0.4767 0.4798 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 2.2 0.4861 2.3 2.4 0.4918 2.5 0.4864 0.4893 0.4896 0.4898 0.4901 0.4920 0.4868 0.4871 0.4875 0.4904 0.4922 0.4925 0.4927 0.4941 0.4943 0.4945 0.4955 0.4956 0.4957 0.4959 0.4878 0.4906 0.4929 0.4946 0.4948 0.4949 0.4951 0.4952 0.4960 0.4881 0.4909 0.4911 0.4931 0.4884 0.4887 0.4890 0.4913 0.4916 0.4932 0.4934 0.4936 0.4938 0.4953 0.4940 0.4961 2.6 2.7 2.8 2.9 3.0 3.1 3.2 0.4993 3.3 3.4 0.4997 0.4962 0.4963 0.4964 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.4995 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998
Transcribed Image Text:STANDARD NORMAL TABLE (Z) Entries in the table give the area under the curve between the mean and z standard deviations above the mean. For example, for z=1.25 the area under the curve between the mean (0) and z is 0.3944. 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.0000 0.0040 0.0438 0.0080 0.0120 0.0160 0.0190 0.0239 0.0279 0.0319 0.0359 0.0398 0.2 0.0793 0.0832 0.0871 0.1179 0.1554 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141 0.3 0.4 0.5 0.6 0.1217 0.1255 0.1293 0.1331 0.1628 0.1664 0.1700 0.1368 0.1406 0.1443 0.1480 0.1517 0.1591 0.1736 0.1772 0.1808 0.1844 0.1879 0.1915 0.2257 0.1950 0.2291 0.1985 0.2019 0.2054 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 0.2642 0.2673 0.2704 0.2939 0.2969 0.2995 0.3212 0.3238 0.3264 0.2088 0.2123 0.2157 0.2190 0.2224 0.7 0.8 0.2881 0.9 0.2580 0.2611 0.2734 0.2764 0.2794 0.2823 0.2852 0.2910 0.3186 0.3023 0.3289 0.3051 0.3315 0.3340 0.3365 0.3389 0.3078 0.3106 0.3133 0.3159 1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3513 0.3554 0.3577 0.3529 0.3621 0.3770 0.3790 0.3810 0.3830 0.3944 0.3962 0.3980 0.3997 0.4015 0.4147 0.4162 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 1.2 0.3849 1.3 1.4 0.4192 1.5 0.3869 0.3888 0.3907 0.3925 0.4049 0.4207 0.4345 0.4463 0.4032 0.4066 0.4082 0.4099 0.4115 0.4131 0.4177 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 0.4332 1.6 0.4452 1.7 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 0.4554 1.8 0.4641 1.9 2.0 0.4772 2.1 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 0.4719 0.4778 0.4713 0.4726 0.4732 0.4738 0.4783 0.4788 0.4793 0.4744 0.4750 0.4756 0.4761 0.4803 0.4808 0.4812 0.4817 0.4767 0.4798 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 2.2 0.4861 2.3 2.4 0.4918 2.5 0.4864 0.4893 0.4896 0.4898 0.4901 0.4920 0.4868 0.4871 0.4875 0.4904 0.4922 0.4925 0.4927 0.4941 0.4943 0.4945 0.4955 0.4956 0.4957 0.4959 0.4878 0.4906 0.4929 0.4946 0.4948 0.4949 0.4951 0.4952 0.4960 0.4881 0.4909 0.4911 0.4931 0.4884 0.4887 0.4890 0.4913 0.4916 0.4932 0.4934 0.4936 0.4938 0.4953 0.4940 0.4961 2.6 2.7 2.8 2.9 3.0 3.1 3.2 0.4993 3.3 3.4 0.4997 0.4962 0.4963 0.4964 0.4965 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.4995 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998
O a. 0.05456 O b.0.456 Oc03174 O d. 0.956 O e. 0.0456
Transcribed Image Text:O a. 0.05456 O b.0.456 Oc03174 O d. 0.956 O e. 0.0456
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