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 .2580 .2611 .2881 .2910 .2939 .2967 .2995 .7 2642 2673 2704 .2704 .2734 .2764 .2794 .2823 .2852 .7 .8 .3023 3051 .3078 3106 .3133 .8 .9 .3159 .3186 .3212 .3238 .3264 3289 .3315 3340 .3365 .3389 .9 .3413 .3438 .3461 .3485 3508 .3531 .3554 .3577 .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 1.1 .3643 .3665 3686 3708 1.2 1.3 1.4 .4332 .4345 4357 .4370 .4382 .4394 .4406 .4418 .4429 .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 4713 .4719 4726 .4732 .4738 .4744 .4750 .4756 .4761 .4767 1.9 1.5 1.6 1.7 1.8 1.9 .4772 .4778 .4783 .4788 .4793 .4798 4803 4808 .4812 .4817 2.0 .4821 .4826 4830 .4834 .4838 .4842 .4846 .4850 4854 .4857 2.1 .4861 .4864 4868 .4871 .4875 .4878 .4881 .4884 .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 2.1 2.2 2.3 2.4 .4949 .4951 4952 2.5 .4953 .4955 4956 .4957 .4959 .4960 .4961 .4962 .4963 .4964 2.6 .4965 .4966 4967 4968 4969 .4970 4971 .4972 4973 .4974 2.7 .4974 .4975 4976 4977 4977 .4978 4979 .4979 4980 .4981 2.8 .4981 .4982 4982 .4983 .4984 .4984 4985 .4985 4986 .4986 2.9 2.5 .4938 .4940 4941 .4943 .4945 .4946 .4948 2.6 2.7 2.8 2.9 .4987 .4987 4987 .4988 .4988 .4989 .4989 .4989 .4990 .4990 3.0 .4990 .4991 .4991 .4991 .4992 .4992 .4992 .4992 4993 .4993 3.1 .4993 .4993 .4994 .4994 4994 .4994 4994 .4995 .4995 .4995 3.2 .4995 .4995 4995 4996 .4996 .4996 4996 .4996 4996 .4997 3.3 .4997 .4997 4997 .4997 .4997 .4997 4997 .4997 4997 .4998 3.4 3.0 3.1 3.2 3.3 3.4 .4998 .4998 .4998 .4998 .4998 .4998 .4998 .4998 4998 .4998 3.5 .4998 .4998 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 3.6 3.5 3.6 3.7 .4999 .4999 4999 4999 4999 .4999 4999 4999 4999 .4999 3.7 3.8 .4999 .4999 4999 .4999 .4999 .4999 4999 .4999 4999 .4999 3.8 3.9 .5000 3.9 For z 2 3.90, the areas are .5000 to four decimal places.
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 .2580 .2611 .2881 .2910 .2939 .2967 .2995 .7 2642 2673 2704 .2704 .2734 .2764 .2794 .2823 .2852 .7 .8 .3023 3051 .3078 3106 .3133 .8 .9 .3159 .3186 .3212 .3238 .3264 3289 .3315 3340 .3365 .3389 .9 .3413 .3438 .3461 .3485 3508 .3531 .3554 .3577 .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 1.1 .3643 .3665 3686 3708 1.2 1.3 1.4 .4332 .4345 4357 .4370 .4382 .4394 .4406 .4418 .4429 .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 4713 .4719 4726 .4732 .4738 .4744 .4750 .4756 .4761 .4767 1.9 1.5 1.6 1.7 1.8 1.9 .4772 .4778 .4783 .4788 .4793 .4798 4803 4808 .4812 .4817 2.0 .4821 .4826 4830 .4834 .4838 .4842 .4846 .4850 4854 .4857 2.1 .4861 .4864 4868 .4871 .4875 .4878 .4881 .4884 .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 2.1 2.2 2.3 2.4 .4949 .4951 4952 2.5 .4953 .4955 4956 .4957 .4959 .4960 .4961 .4962 .4963 .4964 2.6 .4965 .4966 4967 4968 4969 .4970 4971 .4972 4973 .4974 2.7 .4974 .4975 4976 4977 4977 .4978 4979 .4979 4980 .4981 2.8 .4981 .4982 4982 .4983 .4984 .4984 4985 .4985 4986 .4986 2.9 2.5 .4938 .4940 4941 .4943 .4945 .4946 .4948 2.6 2.7 2.8 2.9 .4987 .4987 4987 .4988 .4988 .4989 .4989 .4989 .4990 .4990 3.0 .4990 .4991 .4991 .4991 .4992 .4992 .4992 .4992 4993 .4993 3.1 .4993 .4993 .4994 .4994 4994 .4994 4994 .4995 .4995 .4995 3.2 .4995 .4995 4995 4996 .4996 .4996 4996 .4996 4996 .4997 3.3 .4997 .4997 4997 .4997 .4997 .4997 4997 .4997 4997 .4998 3.4 3.0 3.1 3.2 3.3 3.4 .4998 .4998 .4998 .4998 .4998 .4998 .4998 .4998 4998 .4998 3.5 .4998 .4998 .4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 3.6 3.5 3.6 3.7 .4999 .4999 4999 4999 4999 .4999 4999 4999 4999 .4999 3.7 3.8 .4999 .4999 4999 .4999 .4999 .4999 4999 .4999 4999 .4999 3.8 3.9 .5000 3.9 For z 2 3.90, the areas are .5000 to four decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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.
Transcribed Image Text:3. Find the value of z such that
a. the area to the right of z is 0.2266
b. the area between z - -0.23 and z is 0.5722
e. the area between z = 1.15 and z is 0.073
i c
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