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2. Find the following areas under a normal distribution curve with x = 20 and s = 4 a. area between x 20 and x 27 b. area from x = 23 to x = 25 c. area between x = 9.5 and x =17

2. Find the following areas under a normal distribution curve with x = 20 and s = 4 a. area between x 20 and x 27 b. area from x = 23 to x = 25 c. area between x = 9.5 and x =17

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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2. Find the following areas under a normal distribution curve with x = 20 and s = 4 a. area between x = 20 and x = 27 b. area from x = 23 to x = 25 c. area between x = 9.5 and x =17
Transcribed Image Text:2. Find the following areas under a normal distribution curve with x = 20 and s = 4 a. area between x = 20 and x = 27 b. area from x = 23 to x = 25 c. area between x = 9.5 and x =17
1:30 4 A ? .ul ul 43 Areas Under Normal... 团: The entries in the table are the probabilities that a random variable having the standard normal distribution takes on a value between 0 and z; they are equal to the area under the curve shaded in the figure. AREAS UNDER THE STANDARD NORMAL CURVE Second Decimal Place in z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .0319 .0359 .0 .1 .0398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0753 .1 .2 .0793 .0832 .0871 .0910 .0948 .0987 .1026 .1064 .1103 .1141 .2 .3 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 .1480 .1517 .3 .4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1844 .1879 .4 .5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 .2224 .5 .6 .2257 .2291 .2324 .2357 2389 .2422 .2454 .2486 .2517 .2549 .6 .7 .2580 .2611 .2642 .2673 .2704 .2734 .2764 .2794 .2823 .2852 .7 .8 .2881 .2910 .2939 .2967 .2995 .3023 .3051 .3078 .3106 .3133 .8 .9 .3159 .3186 3212 3238 .3264 .3289 .3315 .3340 .3365 .3389 .9 3599 3621 1.0 .3749 3770 3790 .3810 3830 1.1 .3849 .3869 3888 .3907 3925 .3944 .3962 .3980 .3997 .4015 1.2 .4032 .4049 4066 .4082 .4090 .4115 .4131 .4147 .4162 .4177 1.3 .4192 .4207 4222 .4236 .4251 .4265 .4279 .4292 .4306 .4319 1.4 1.0 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3577 1.1 .3643 .3665 .3686 .3708 3729 1.2 1.3 1.4 4441 1.5 .4452 .4463 .4474 4484 .4495 .4505 .4515 .4525 .4535 .4545 1.6 .4554 .4564 4573 .4582 .4591 .4599 .4608 .4616 .4625 .4633 1.7 .4641 .4649 4656 .4664 .4671 .4678 .4686 .4693 .4699 .4706 1.8 .4738 .4744 4750 .4756 4761 .4767 1.9 1.5 .4332 .4345 4357 4370 .4382 .4394 .4406 .4418 .4429 1.6 1.7 1.8 1.9 .4713 .4719 .4726 4732 .4817 2.0 .4854 .4857 2.1 .4887 .4890 2.2 .4893 .4896 4898 .4901 .4904 .4906 .4909 .4991 .4913 .4916 2.3 .4918 .4920 .4922 .4925 .4927 .4929 .4931 .4932 4934 .4936 2.4 2.0 .4772 .4778 .4783 .4788 .4793 .4798 4803 .4808 .4812 2.1 .4821 .4826 .4830 .4834 .4838 .4842 .4846 .4850 2.2 .4861 .4864 .4868 .4871 .4875 .4878 .4881 .4884 2.3 2.4 2.5 .4938 .4940 .4941 .4943 .4945 .4946 .4948 4949 .4951 .4952 2.5 .4960 .4961 .4962 .4963 .4964 2.6 .4965 .4966 4967 .4968 .4969 .4970 .4971 .4972 .4973 .4974 2.7 .4981 2.8 .4981 .4982 .4982 4983 .4984 .4984 4985 .4985 .4986 .4986 2.9 2.6 .4953 .4955 4956 .4957 4959 2.7 2.8 .4974 .4975 4976 4977 .4977 4978 4979 4979 .4980 2.9 .4990 3.0 .4990 .4991 .4991 .4991 4992 .4992 .4992 .4992 .4993 .4993 3.1 .4994 .4994 4994 .4995 4995 .4995 3.2 .4997 3.3 3.4 3.0 .4987 .4987 4987 4988 .4988 .4989 4989 .4989 .4990 3.1 3.2 .4993 .4993 4994 .4994 3.3 .4995 .4995 .4995 4996 .4996 .4996 4996 4996 4996 3.4 .4997 .4997 .4997 .4997 .4997 .4997 .4997 .4997 4997 4998 .4998 3.5 .4998 .4998 4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 3.6 4999 .4999 3.7 .4999 3.8 3.5 .4998 .4998 .4998 .4998 .4998 .4998 .4998 4998 4998 3.6 3.7 .4999 .4999 4999 4999 .4999 .4999 .4999 3.8 .4999 .4999 4999 .4999 .4999 .4999 .4999 .4999 .4999 3.9 .5000 3.9 For z 2 3.90, the areas are .5000 to four decimal places.
Transcribed Image Text:1:30 4 A ? .ul ul 43 Areas Under Normal... 团: The entries in the table are the probabilities that a random variable having the standard normal distribution takes on a value between 0 and z; they are equal to the area under the curve shaded in the figure. AREAS UNDER THE STANDARD NORMAL CURVE Second Decimal Place in z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .0319 .0359 .0 .1 .0398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0753 .1 .2 .0793 .0832 .0871 .0910 .0948 .0987 .1026 .1064 .1103 .1141 .2 .3 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 .1480 .1517 .3 .4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1844 .1879 .4 .5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 .2224 .5 .6 .2257 .2291 .2324 .2357 2389 .2422 .2454 .2486 .2517 .2549 .6 .7 .2580 .2611 .2642 .2673 .2704 .2734 .2764 .2794 .2823 .2852 .7 .8 .2881 .2910 .2939 .2967 .2995 .3023 .3051 .3078 .3106 .3133 .8 .9 .3159 .3186 3212 3238 .3264 .3289 .3315 .3340 .3365 .3389 .9 3599 3621 1.0 .3749 3770 3790 .3810 3830 1.1 .3849 .3869 3888 .3907 3925 .3944 .3962 .3980 .3997 .4015 1.2 .4032 .4049 4066 .4082 .4090 .4115 .4131 .4147 .4162 .4177 1.3 .4192 .4207 4222 .4236 .4251 .4265 .4279 .4292 .4306 .4319 1.4 1.0 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3577 1.1 .3643 .3665 .3686 .3708 3729 1.2 1.3 1.4 4441 1.5 .4452 .4463 .4474 4484 .4495 .4505 .4515 .4525 .4535 .4545 1.6 .4554 .4564 4573 .4582 .4591 .4599 .4608 .4616 .4625 .4633 1.7 .4641 .4649 4656 .4664 .4671 .4678 .4686 .4693 .4699 .4706 1.8 .4738 .4744 4750 .4756 4761 .4767 1.9 1.5 .4332 .4345 4357 4370 .4382 .4394 .4406 .4418 .4429 1.6 1.7 1.8 1.9 .4713 .4719 .4726 4732 .4817 2.0 .4854 .4857 2.1 .4887 .4890 2.2 .4893 .4896 4898 .4901 .4904 .4906 .4909 .4991 .4913 .4916 2.3 .4918 .4920 .4922 .4925 .4927 .4929 .4931 .4932 4934 .4936 2.4 2.0 .4772 .4778 .4783 .4788 .4793 .4798 4803 .4808 .4812 2.1 .4821 .4826 .4830 .4834 .4838 .4842 .4846 .4850 2.2 .4861 .4864 .4868 .4871 .4875 .4878 .4881 .4884 2.3 2.4 2.5 .4938 .4940 .4941 .4943 .4945 .4946 .4948 4949 .4951 .4952 2.5 .4960 .4961 .4962 .4963 .4964 2.6 .4965 .4966 4967 .4968 .4969 .4970 .4971 .4972 .4973 .4974 2.7 .4981 2.8 .4981 .4982 .4982 4983 .4984 .4984 4985 .4985 .4986 .4986 2.9 2.6 .4953 .4955 4956 .4957 4959 2.7 2.8 .4974 .4975 4976 4977 .4977 4978 4979 4979 .4980 2.9 .4990 3.0 .4990 .4991 .4991 .4991 4992 .4992 .4992 .4992 .4993 .4993 3.1 .4994 .4994 4994 .4995 4995 .4995 3.2 .4997 3.3 3.4 3.0 .4987 .4987 4987 4988 .4988 .4989 4989 .4989 .4990 3.1 3.2 .4993 .4993 4994 .4994 3.3 .4995 .4995 .4995 4996 .4996 .4996 4996 4996 4996 3.4 .4997 .4997 .4997 .4997 .4997 .4997 .4997 .4997 4997 4998 .4998 3.5 .4998 .4998 4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 3.6 4999 .4999 3.7 .4999 3.8 3.5 .4998 .4998 .4998 .4998 .4998 .4998 .4998 4998 4998 3.6 3.7 .4999 .4999 4999 4999 .4999 .4999 .4999 3.8 .4999 .4999 4999 .4999 .4999 .4999 .4999 .4999 .4999 3.9 .5000 3.9 For z 2 3.90, the areas are .5000 to four decimal places.
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