Engineering Fundamentals: An Introduction to Engineering, 4th ed.c

646 Chapter 19 Probability and Statistics in Engineering

TABLE 19.11 Areas Under the Standard Normal Curve—The Values were Generated using the Standard Normal Distribution

Function of Excel

Mean  0 z

A

z  1.00

A  0.3413

z  2.00

A  0.4772

z  3.00

A  0.4987

Z AZAZAZAZAZAZA

0 0.0000 0.51 0.1950 1.02 0.3461 1.53 0.4370 2.04 0.4793 2.55 0.4946 3.06 0.4989

0.01 0.0040 0.52 0.1985 1.03 0.3485 1.54 0.4382 2.05 0.4798 2.56 0.4948 3.07 0.4989

0.02 0.0080 0.53 0.2019 1.04 0.3508 1.55 0.4394 2.06 0.4803 2.57 0.4949 3.08 0.4990

0.03 0.0120 0.54 0.2054 1.05 0.3531 1.56 0.4406 2.07 0.4808 2.58 0.4951 3.09 0.4990

0.04 0.0160 0.55 0.2088 1.06 0.3554 1.57 0.4418 2.08 0.4812 2.59 0.4952 3.1 0.4990

0.05 0.0199 0.56 0.2123 1.07 0.3577 1.58 0.4429 2.09 0.4817 2.6 0.4953 3.11 0.4991

0.06 0.0239 0.57 0.2157 1.08 0.3599 1.59 0.4441 2.1 0.4821 2.61 0.4955 3.12 0.4991

0.07 0.0279 0.58 0.2190 1.09 0.3621 1.6 0.4452 2.11 0.4826 2.62 0.4956 3.13 0.4991

0.08 0.0319 0.59 0.2224 1.1 0.3643 1.61 0.4463 2.12 0.4830 2.63 0.4957 3.14 0.4992

0.09 0.0359 0.6 0.2257 1.11 0.3665 1.62 0.4474 2.13 0.4834 2.64 0.4959 3.15 0.4992

0.1 0.0398 0.61 0.2291 1.12 0.3686 1.63 0.4484 2.14 0.4838 2.65 0.4960 3.16 0.4992

0.11 0.0438 0.62 0.2324 1.13 0.3708 1.64 0.4495 2.15 0.4842 2.66 0.4961 3.17 0.4992

0.12 0.0478 0.63 0.2357 1.14 0.3729 1.65 0.4505 2.16 0.4846 2.67 0.4962 3.18 0.4993

0.13 0.0517 0.64 0.2389 1.15 0.3749 1.66 0.4515 2.17 0.4850 2.68 0.4963 3.19 0.4993

0.14 0.0557 0.65 0.2422 1.16 0.3770 1.67 0.4525 2.18 0.4854 2.69 0.4964 3.2 0.4993

0.15 0.0596 0.66 0.2454 1.17 0.3790 1.68 0.4535 2.19 0.4857 2.7 0.4965 3.21 0.4993

0.16 0.0636 0.67 0.2486 1.18 0.3810 1.69 0.4545 2.2 0.4861 2.71 0.4966 3.22 0.4994

0.17 0.0675 0.68 0.2517 1.19 0.3830 1.7 0.4554 2.21 0.4864 2.72 0.4967 3.23 0.4994

0.18 0.0714 0.69 0.2549 1.2 0.3849 1.71 0.4564 2.22 0.4868 2.73 0.4968 3.24 0.4994

0.19 0.0753 0.7 0.2580 1.21 0.3869 1.72 0.4573 2.23 0.4871 2.74 0.4969 3.25 0.4994

0.2 0.0793 0.71 0.2611 1.22 0.3888 1.73 0.4582 2.24 0.4875 2.75 0.4970 3.26 0.4994

Continued

Note that the standard

normal curve is symmetrical

about the mean.

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