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Practice/Exercises: Find the area under the normal curve in each of the following cases: 1. Between z = 0 and z = 1.63 2. Between z = 1.56 and z = 2.51 3. Between z = -2.46 and z = 1.55 4. To the right of z = 2.35||| 5. To the left of z=0.35

Practice/Exercises: Find the area under the normal curve in each of the following cases: 1. Between z = 0 and z = 1.63 2. Between z = 1.56 and z = 2.51 3. Between z = -2.46 and z = 1.55 4. To the right of z = 2.35||| 5. To the left of z=0.35

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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11:32 STAT-Q3-Wk-4-LAS-10-12-TNHS Done Q Step 5. Locate the area for z = -1.65 from the table. Proceed down the column marked z until you reach 1.6. Disregard the negative sign (-). Then proceed to the right along this row until you reach the column marked 0.05. The intersection of the row and the column marked 0.05 is the area. Hence, the area is 0.4505. Example 5. Find the area between z = -1.35 and z = 2.35. Solution: Step 1. Sketch the normal curve. A A1 A₂ Step 2. Let A = area between z = -1.35 and z = 2.35 A₁ = area between z = 0 and z = -1.35 Az = area between z = 0 and z = 2.35 From the table, A₁ = 0.4114 A₂ = 0.4906 A = A₁ + A₂ = 0.4114 +0.4906 A = 0.902 Hence, the area between z = -1.35 and z = 2.35 is 0.902. A₁ 2.35 Example 6. Find the area to the left of z = 2.32. Solution: Step 1. Sketch the normal curve. 2.32 Step 2. Let A area to the left of z = 2.32 A₁ = area of half of the curve A₂ = area between z = 0 and z = 2.32 From the table, A2 0.4898 A = A₁ + A₂ = 0.5 +0.4898 A= 0.9898 Hence, the area to the left of z = 2.32 is 0.9898. Practice/Exercises: Find the area under the normal curve in each of the following cases: 1. Between z = 0 and z= 1.63 2. Between z = 1.56 and z = 2.51 3. Between z = -2.46 and z= 1.55 4. To the right of z = 2.35 5. To the left of z=0.35 BIU Y 8 A Az !!! ...
Transcribed Image Text:11:32 STAT-Q3-Wk-4-LAS-10-12-TNHS Done Q Step 5. Locate the area for z = -1.65 from the table. Proceed down the column marked z until you reach 1.6. Disregard the negative sign (-). Then proceed to the right along this row until you reach the column marked 0.05. The intersection of the row and the column marked 0.05 is the area. Hence, the area is 0.4505. Example 5. Find the area between z = -1.35 and z = 2.35. Solution: Step 1. Sketch the normal curve. A A1 A₂ Step 2. Let A = area between z = -1.35 and z = 2.35 A₁ = area between z = 0 and z = -1.35 Az = area between z = 0 and z = 2.35 From the table, A₁ = 0.4114 A₂ = 0.4906 A = A₁ + A₂ = 0.4114 +0.4906 A = 0.902 Hence, the area between z = -1.35 and z = 2.35 is 0.902. A₁ 2.35 Example 6. Find the area to the left of z = 2.32. Solution: Step 1. Sketch the normal curve. 2.32 Step 2. Let A area to the left of z = 2.32 A₁ = area of half of the curve A₂ = area between z = 0 and z = 2.32 From the table, A2 0.4898 A = A₁ + A₂ = 0.5 +0.4898 A= 0.9898 Hence, the area to the left of z = 2.32 is 0.9898. Practice/Exercises: Find the area under the normal curve in each of the following cases: 1. Between z = 0 and z= 1.63 2. Between z = 1.56 and z = 2.51 3. Between z = -2.46 and z= 1.55 4. To the right of z = 2.35 5. To the left of z=0.35 BIU Y 8 A Az !!! ...
Areas Under the One-Tailed Standard Normal Curve This table provides the area between the mean and some Z score. 0=1 For example, when Z score=1.45 the area = 0.4265. 0.4265 Z Z 0.00 0.01 0.02 0.06 0.09 0.05 0.0199 0.0239 0.0000 0.0040 0.0359 0.0080 0.0478 0.0517 0.0398 0.0438 0.03 0.04 0.0120 0.0160 0.0557 0.0948 0.0987 0.1026 0.1331 0.0596 0.0636 0.0753 0.0793 0.0832 0.0871 0.0910 0.1103 0.1141 0.1179 0.1217 0.1255 0.1293 0.1064 0.1368 0.1406 0.1443 0.1808 0.1480 0.1517 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1844 0.1879 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.2257 0.2291 0.2324 0.2357 0.2454 0.2486 0.2517 0.2549 0.2580 0.2611 0.2642 0.2673 0.2704 0.2764 0.2794 0.2823 0.2852 0.2734 0.3023 0.3051 0.3078 0.3106 0.2881 0.2910 0.2939 0.2967 0.2995 0.3133 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 0.3413 0.3438 0.3508 0.3554 0.3577 0.3599 0.3621 0.3643 0.3665 0.3686 0.3790 0.3810 0.3830 0.3708 0.3729 0.3907 0.3925 0.4082 0.4099 0.3531 0.3749 0.3770 0.3944 0.3962 0.4115 0.4131 0.3980 0.3997 0.4015 0.4147 0.4162 0.4177 0.3849 0.3869 0.3888 0.4032 0.4049 0.4066 0.4192 0.4207 0.4222 0.4332 0.4345 0.4357 0.4452 0.4463 0.4474 0.4484 0.4495 0.4236 0.4251 0.4292 0.4306 0.4319 0.4265 0.4279 0.4394 0.4406 0.4370 0.4382 0.4418 0.4429 0.4441 0.4505 0.4515 0.4525 0.4535 0.4545 0.4582 0.4591 0.4599 0.4608 0.4641 0.4649 0.4671 0.4678 0.4686 0.4616 0.4625 0.4633 0.4693 0.4699 0.4706 0.4744 0.4750 0.4756 0.4761 0.4554 0.4564 0.4573 0.4656 0.4664 0.4719 0.4726 0.4732 0.4772 0.4778 0.4783 0.4788 0.4713 0.4767 0.4817 0.4857 0.4830 0.4834 0.4868 0.4871 0.4881 0.4884 0.4887 0.4890 0.4916 0.4909 0.4911 0.4913 0.4931 0.4932 0.4934 0.4918 0.4920 0.4936 0.4948 0.4949 0.4951 0.4952 0.4738 0.4793 0.4798 0.4803 0.4808 0.4812 0.4821 0.4826 0.4838 0.4842 0.4846 0.4850 0.4854 0.4861 0.4864 0.4875 0.4878 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4922 0.4925 0.4927 0.4929 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4965 0.4966 0.4967 0.4968 0.4969 0.4974 0.4975 0.4976 0.4977 0.4977 0.4981 0.4981 0.4982 0.4982 0.4983 0.4984 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 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 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 0.4998 0.4998 0.4998 0.4998 0.4961 0.4970 0.4971 0.4962 0.4963 0.4964 0.4974 0.4972 0.4973 0.4979 0.4980 0.4978 0.4979 0.4984 0.4985 0.4995 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.4999 0.4999 0.4999 0.4999 0.4999 0.5000 0.5000 0.5000 0.5000 0.0 0.1 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 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.4 3.5 3.6 3.7 3.8 3.9 0.3461 0.3485 0.2389 0.2422 H=0 1.45 0.07 0.08 0.0279 0.0319 0.0675 0.0714 Jalale
Transcribed Image Text:Areas Under the One-Tailed Standard Normal Curve This table provides the area between the mean and some Z score. 0=1 For example, when Z score=1.45 the area = 0.4265. 0.4265 Z Z 0.00 0.01 0.02 0.06 0.09 0.05 0.0199 0.0239 0.0000 0.0040 0.0359 0.0080 0.0478 0.0517 0.0398 0.0438 0.03 0.04 0.0120 0.0160 0.0557 0.0948 0.0987 0.1026 0.1331 0.0596 0.0636 0.0753 0.0793 0.0832 0.0871 0.0910 0.1103 0.1141 0.1179 0.1217 0.1255 0.1293 0.1064 0.1368 0.1406 0.1443 0.1808 0.1480 0.1517 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1844 0.1879 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.2257 0.2291 0.2324 0.2357 0.2454 0.2486 0.2517 0.2549 0.2580 0.2611 0.2642 0.2673 0.2704 0.2764 0.2794 0.2823 0.2852 0.2734 0.3023 0.3051 0.3078 0.3106 0.2881 0.2910 0.2939 0.2967 0.2995 0.3133 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 0.3413 0.3438 0.3508 0.3554 0.3577 0.3599 0.3621 0.3643 0.3665 0.3686 0.3790 0.3810 0.3830 0.3708 0.3729 0.3907 0.3925 0.4082 0.4099 0.3531 0.3749 0.3770 0.3944 0.3962 0.4115 0.4131 0.3980 0.3997 0.4015 0.4147 0.4162 0.4177 0.3849 0.3869 0.3888 0.4032 0.4049 0.4066 0.4192 0.4207 0.4222 0.4332 0.4345 0.4357 0.4452 0.4463 0.4474 0.4484 0.4495 0.4236 0.4251 0.4292 0.4306 0.4319 0.4265 0.4279 0.4394 0.4406 0.4370 0.4382 0.4418 0.4429 0.4441 0.4505 0.4515 0.4525 0.4535 0.4545 0.4582 0.4591 0.4599 0.4608 0.4641 0.4649 0.4671 0.4678 0.4686 0.4616 0.4625 0.4633 0.4693 0.4699 0.4706 0.4744 0.4750 0.4756 0.4761 0.4554 0.4564 0.4573 0.4656 0.4664 0.4719 0.4726 0.4732 0.4772 0.4778 0.4783 0.4788 0.4713 0.4767 0.4817 0.4857 0.4830 0.4834 0.4868 0.4871 0.4881 0.4884 0.4887 0.4890 0.4916 0.4909 0.4911 0.4913 0.4931 0.4932 0.4934 0.4918 0.4920 0.4936 0.4948 0.4949 0.4951 0.4952 0.4738 0.4793 0.4798 0.4803 0.4808 0.4812 0.4821 0.4826 0.4838 0.4842 0.4846 0.4850 0.4854 0.4861 0.4864 0.4875 0.4878 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4922 0.4925 0.4927 0.4929 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4965 0.4966 0.4967 0.4968 0.4969 0.4974 0.4975 0.4976 0.4977 0.4977 0.4981 0.4981 0.4982 0.4982 0.4983 0.4984 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 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 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 0.4998 0.4998 0.4998 0.4998 0.4961 0.4970 0.4971 0.4962 0.4963 0.4964 0.4974 0.4972 0.4973 0.4979 0.4980 0.4978 0.4979 0.4984 0.4985 0.4995 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.4999 0.4999 0.4999 0.4999 0.4999 0.5000 0.5000 0.5000 0.5000 0.0 0.1 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 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.4 3.5 3.6 3.7 3.8 3.9 0.3461 0.3485 0.2389 0.2422 H=0 1.45 0.07 0.08 0.0279 0.0319 0.0675 0.0714 Jalale
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