Chapter 9: The Normal Probability Distribution
389
Figure 9-29:
Area and probability value for
P
(-2.32 ≤
z
≤
1.91)
If we would like to use the standard normal tables, we may use the table
which gives an area between 0 and a specified
-value. Since we need to
find
P
(-2.32
1.91), we will have to use an equivalent form to find the
probability. The equivalent form is the same as finding
P
(-2.32
0) +
P(0
1.91) =
P
(0
2.32) +
P
(0
1.91) = 0.4898 + 0.4719
= 0.9617. Note: Using the tables gives a slightly different answer. The
difference is 0.0001. This is shown in
Figure 9-30
. Of course, one could
have used the other tables to help solve.
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