Example 3.5 What is the probability of obtaining azvalue between 1.0 and
1.58? We have
Prð 1 : 0 aza 1 : 58 Þ¼Prð 0 aza 1 : 58 ÞPrð 0 aza 1 : 0 Þ
¼ 0 : 4429 0 : 3413
¼ 0 : 1016and this probability is shown in Figure 3.9.
Example 3.6 Find azvalue such that the probability of obtaining a largerz
value is only 0.10. We have
Prðzb?Þ¼ 0 : 10and this is illustrated in Figure 3.10. Scanning the table in Appendix B, we find
Figure 3.7 Graphical display for Example 3.3.Figure 3.8 Graphical display for Example 3.4.NORMAL DISTRIBUTION 127