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204 Fundamentals of Probability and Statistics for Engineers
f X (x)
0.4
0.3
0.2
0.1
68.3%
0 x
m–σ m m +σ
(a)
f X (x)
0.4
0.3
0.2
0.1
95.5%
0 x
m –2σ m m +2σ
(b)
f X (x)
0.4
0.3
0.2
0.1
99.7%
0 x
m – 3σ m m + 3σ
(c)
Figure 7.7 The Area under the normal density function within the range (a) m , (b)
m 3
2 , and (c) m
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