741 Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal Distribution Function of Excel (Continued) TABLE 19.11 z z z z z z 2.24 2.43 O.4925 2.62 0.4956 2.81 04975 286F0 3.19 04993 3.38 966 F0 2.25 0.4878 2.44 0.4927 2.63 0.4957 2.82 0.4976 3.01 0.4987 3.2 0.4993 3.39 2660 2.26 0.4881 2.45 2.64 2.83 656'0 0,4977 3.02 0.4987 3.21 3.4 L660 2.27 04 884 2.46 2.65 2.84 0960 LL6V0 3.03 886V0 3.22 0.4994 3.41 266 V0 2.28 0.4887 2.47 0.4932 2.85 0.4978 3.04 0.4988 3.23 0.4994 3.42 0.4997 99'7 1960 2.29 0680 2.48 0.4934 2.67 0.4962 2.86 0.4979 3.05 0.4989 3.24 0.4994 3.43 Z660 2.3 04893 04936 2.68 0.4963 2.87 3.06 6860 3.25 3.44 266 0 2.31 2.5 968t0 0.4938 0.4964 2.88 0.4980 0.4989 3.26 0.4994 3.45 69'7 2660 2.32 0.4898 2.51 0.4940 2.7 S96'0 2.89 0.4981 3.08 3.27 0660 S66'0 3.46 2660 2.33 2.52 0.4941 2.71 9960 2.9 0660 3.28 04995 3.47 106V0 18640 60°E 266 V0 2.34 06'0 2.53 0.4943 2.72 296'0 2.91 0.4982 3.1 066'0 3.29 0.4995 3.48 0.4997 2.35 906'0 2.54 0.4945 2.73 0.4968 2.92 0.4982 3.11 166'0 3.3 S66'0 3.49 866'0 2.36 2.55 6060 04946 2.74 2.93 6960 04983 3.12 3.31 S66F0 3.5 166F0 866 V0 2.37 2.56 0.4948 2.75 0.4970 2.94 860 3.13 3.32 0.4995 3.51 166'0 866'0 2.38 0.4913 2.57 2.76 0.4971 2.95 0.4984 3.14 0.4992 966'0 3.52 EE'E 866'0 S86 40 3.16 2.39 2.58 2.77 0.4972 3.15 0.4992 3.34 96640 3.53 9160 96'Z 866 F0 2.4 0.4918 2.59 0.4952 2.78 0.4973 2.97 0.4 985 0.4992 3.35 0.4996 ... 2.41 0.4920 2.6 0.4953 2.79 0.4974 2.98 0.4986 3.17 0.4992 966'0 2.42 04922 2.61 0.4955 2.8 0.4974 986 F0 3.18 0.4993 3.37 66'7 9660 6'E 000s'0

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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100%

Assuming a standard normal distribution ( Table 19.11 ), what percentage of the data falls between −0.5 s to 0.5 s?

741
Areas Under the Standard Normal Curve-The Values Were Generated Using the Standard Normal
Distribution Function of Excel (Continued)
TABLE 19.11
z
z
z
z
z
z
2.24
2.43
O.4925
2.62
0.4956
2.81
04975
286F0
3.19
04993
3.38
966 F0
2.25
0.4878
2.44
0.4927
2.63
0.4957
2.82
0.4976
3.01
0.4987
3.2
0.4993
3.39
2660
2.26
0.4881
2.45
2.64
2.83
656'0
0,4977
3.02
0.4987
3.21
3.4
L660
2.27
04 884
2.46
2.65
2.84
0960
LL6V0
3.03
886V0
3.22
0.4994
3.41
266 V0
2.28
0.4887
2.47
0.4932
2.85
0.4978
3.04
0.4988
3.23
0.4994
3.42
0.4997
99'7
1960
2.29
0680
2.48
0.4934
2.67
0.4962
2.86
0.4979
3.05
0.4989
3.24
0.4994
3.43
Z660
2.3
04893
04936
2.68
0.4963
2.87
3.06
6860
3.25
3.44
266 0
2.31
2.5
968t0
0.4938
0.4964
2.88
0.4980
0.4989
3.26
0.4994
3.45
69'7
2660
2.32
0.4898
2.51
0.4940
2.7
S96'0
2.89
0.4981
3.08
3.27
0660
S66'0
3.46
2660
2.33
2.52
0.4941
2.71
9960
2.9
0660
3.28
04995
3.47
106V0
18640
60°E
266 V0
2.34
06'0
2.53
0.4943
2.72
296'0
2.91
0.4982
3.1
066'0
3.29
0.4995
3.48
0.4997
2.35
906'0
2.54
0.4945
2.73
0.4968
2.92
0.4982
3.11
166'0
3.3
S66'0
3.49
866'0
2.36
2.55
6060
04946
2.74
2.93
6960
04983
3.12
3.31
S66F0
3.5
166F0
866 V0
2.37
2.56
0.4948
2.75
0.4970
2.94
860
3.13
3.32
0.4995
3.51
166'0
866'0
2.38
0.4913
2.57
2.76
0.4971
2.95
0.4984
3.14
0.4992
966'0
3.52
EE'E
866'0
S86 40
3.16
2.39
2.58
2.77
0.4972
3.15
0.4992
3.34
96640
3.53
9160
96'Z
866 F0
2.4
0.4918
2.59
0.4952
2.78
0.4973
2.97
0.4 985
0.4992
3.35
0.4996
...
2.41
0.4920
2.6
0.4953
2.79
0.4974
2.98
0.4986
3.17
0.4992
966'0
2.42
04922
2.61
0.4955
2.8
0.4974
986 F0
3.18
0.4993
3.37
66'7
9660
6'E
000s'0

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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