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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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