1. In a Science test, the mean is 60 and the standard deviation is 6. Assuming the scores are normally distributed, what is the probability that a score picked at random is a. greater than 65? b. less than 70? c. between 50 and 65?
1. In a Science test, the mean is 60 and the standard deviation is 6. Assuming the scores are normally distributed, what is the probability that a score picked at random is a. greater than 65? b. less than 70? c. between 50 and 65?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
0.4554 0.4564 0.4573
0.4656 0.4664
0.4719 0.4726 0.4732
0.4772 0.4778 0.4783 0.4788
0.4616 0.4625 0.4633
0.4693 0.4699 0.4706
0.4744 0.4750 0.4756 0.4761
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:Evaluation: Solve the following problems.
1. In a Science test, the mean is 60 and the standard deviation is 6. Assuming the scores are normally distributed,
what is the probability that a score picked at random is
a. greater than 65?
b.
less than 70?
c. between 50 and 65?
2. A fifth grader takes a standardized achievement test (mean = 125, s = 15) and scores a 148. What is this
child's percentile rank?
3. To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test
has a mean of 200 and a standard deviation of 20. Find the lowest possible score to qualify. Assume that the
test scores are normally distributed.
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