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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)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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