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Find the area to the left of z = -1.5 Solution: Draw the normal curve and shade the required region 1 2 3 Find the area that z = -1.5 corresponds to an area corresponds to the z-value Examine the graph and use probability notation to form the equation . The proportion of the area to the left of z = -1.5 is

Find the area to the left of z = -1.5 Solution: Draw the normal curve and shade the required region 1 2 3 Find the area that z = -1.5 corresponds to an area corresponds to the z-value Examine the graph and use probability notation to form the equation . The proportion of the area to the left of z = -1.5 is

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 94E
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Find the area to the left of z = -1.5 Solution: Draw the normal curve and shade the required region 2 3 Find the area that z = -1.5 corresponds to an area corresponds to the z-value Examine the graph and use probability notation to form the equation . The proportion of the area to the left of z = -1.5 is
Transcribed Image Text:Find the area to the left of z = -1.5 Solution: Draw the normal curve and shade the required region 2 3 Find the area that z = -1.5 corresponds to an area corresponds to the z-value Examine the graph and use probability notation to form the equation . The proportion of the area to the left of z = -1.5 is
Table I: Table of Areas under the Normal Curve 06| .00 .01 .02 .03 .04 .05 .07 .08 .09 0.0 .0000 .0040 .00so .0120 .0150 .0199 .0239 .0279 .0319 .0359 0.1 .0398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0754 0.2 .0793 .0832 .0871 .0910 .0948 .0987 1026 .1064 .1103.1141 0.3 .1179 .1217 .1253 .1293 .1331 .1368 .1406 .1443 .1480 .1517 0.4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1844 .1879 0.5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 .2224 0.6 .2258 .2291 .2324 .2357 2389 .2422 .2454 2486 .2518 .2549 0.7 2580 .2612 .2642 .2673 .2704 .2734 .2764 .2794 .2823 .2852 0.8 2881 .2910 .2939 .2967 2996 .3023 3051 .3078 .3106 .3133 0.9 3159 .3186 .3212 3288 3264 .3289 .3315 .3340 .3365 3389 1.0 3413 .3438 .3461 .3485 .3508 .3531 .3554 .3557 .3559 .3621 .3810 .3830 .3997 4015 1.1 .3642 .3665 .3686 .3708 .3729 .3749 .3770 .3790 1.2 .3849 .3869 .3888 .3907 .3925 .3944 .3962 .3980 1.3 4032 .4049 .4066 .4082 4099 .4115 4131 .4147 .4162 .4177 1.4 4192 .4207 .4222 4236 4251 .4265 4279 .4292 .4306 .4319 1.5 .4332 .4345 .4357 .4370 4382 .4394 .4406 .4418 .4429 .4441 1.6 .4452 .4463 .4474 .4484 4495 .4505 4515 4525 .4535 .4545 1.7 4554 .4564 .4573 .4582 4591 .4599 .4608 .4616 .4625 .4633 1.8 4641 .4649 .4656 4664 4671 .4678 4686 .4693 .4699 4706 1.9 4713 .4719 .4726 .4732 4738 .4744 .4750 .4756 .4761 .4767 2.0 4772 .4778 .4783 .4788 .4793 .4798 4803 .4808 .4812 .4817 2.1 4821 .4826 .4830 .4834 4838 .4842 4846 4850 .4854 .4857 22 4861 .4864 .4868 .4871 .4875 .4878 4881 .4884 .4887 .4890 23 .4893 .4896 .4898 .4901 4904 .4906 4909 .4911 .4913 .4916 2.4 .4918 .4920 .4922 .4925 4927 .4929 4931 .4932 .4934 .4936 2.5 4938 .4940 .4941 .4943 4945 .4946 4948 .4949 .4951 .4952 2.6 4953 .4955 .4956 .4957 4959 .4960 .4961 .4962 .4963 .4964 2.7 4965 .4966 .4967 .4968 4969 .4970 4971 4972 .4973 .4974 2.8 .4974 .4975 .4976 .4977 4977 .4978 4979 .4979 .4980 .4981 2.9 .4981 .4982 .4982 .4983 4984 .4984 .4985 .4985 .4986 .4986 3.0 .4987 .4987 .4987 .4988 4988 .4989 .4989 .4989 .4990 .4990 For values of z above 3.09, use 0.4999 en +
Transcribed Image Text:Table I: Table of Areas under the Normal Curve 06| .00 .01 .02 .03 .04 .05 .07 .08 .09 0.0 .0000 .0040 .00so .0120 .0150 .0199 .0239 .0279 .0319 .0359 0.1 .0398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0754 0.2 .0793 .0832 .0871 .0910 .0948 .0987 1026 .1064 .1103.1141 0.3 .1179 .1217 .1253 .1293 .1331 .1368 .1406 .1443 .1480 .1517 0.4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1844 .1879 0.5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 .2224 0.6 .2258 .2291 .2324 .2357 2389 .2422 .2454 2486 .2518 .2549 0.7 2580 .2612 .2642 .2673 .2704 .2734 .2764 .2794 .2823 .2852 0.8 2881 .2910 .2939 .2967 2996 .3023 3051 .3078 .3106 .3133 0.9 3159 .3186 .3212 3288 3264 .3289 .3315 .3340 .3365 3389 1.0 3413 .3438 .3461 .3485 .3508 .3531 .3554 .3557 .3559 .3621 .3810 .3830 .3997 4015 1.1 .3642 .3665 .3686 .3708 .3729 .3749 .3770 .3790 1.2 .3849 .3869 .3888 .3907 .3925 .3944 .3962 .3980 1.3 4032 .4049 .4066 .4082 4099 .4115 4131 .4147 .4162 .4177 1.4 4192 .4207 .4222 4236 4251 .4265 4279 .4292 .4306 .4319 1.5 .4332 .4345 .4357 .4370 4382 .4394 .4406 .4418 .4429 .4441 1.6 .4452 .4463 .4474 .4484 4495 .4505 4515 4525 .4535 .4545 1.7 4554 .4564 .4573 .4582 4591 .4599 .4608 .4616 .4625 .4633 1.8 4641 .4649 .4656 4664 4671 .4678 4686 .4693 .4699 4706 1.9 4713 .4719 .4726 .4732 4738 .4744 .4750 .4756 .4761 .4767 2.0 4772 .4778 .4783 .4788 .4793 .4798 4803 .4808 .4812 .4817 2.1 4821 .4826 .4830 .4834 4838 .4842 4846 4850 .4854 .4857 22 4861 .4864 .4868 .4871 .4875 .4878 4881 .4884 .4887 .4890 23 .4893 .4896 .4898 .4901 4904 .4906 4909 .4911 .4913 .4916 2.4 .4918 .4920 .4922 .4925 4927 .4929 4931 .4932 .4934 .4936 2.5 4938 .4940 .4941 .4943 4945 .4946 4948 .4949 .4951 .4952 2.6 4953 .4955 .4956 .4957 4959 .4960 .4961 .4962 .4963 .4964 2.7 4965 .4966 .4967 .4968 4969 .4970 4971 4972 .4973 .4974 2.8 .4974 .4975 .4976 .4977 4977 .4978 4979 .4979 .4980 .4981 2.9 .4981 .4982 .4982 .4983 4984 .4984 .4985 .4985 .4986 .4986 3.0 .4987 .4987 .4987 .4988 4988 .4989 .4989 .4989 .4990 .4990 For values of z above 3.09, use 0.4999 en +
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