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374

Chapter 9: The Normal Probability Distribution

Figure 9-15:

Illustration for

P

(x1 < X < x2) under the Normal curve

Next we will introduce a special normal distribution called the standard

normal distribution.

Section Review

9 - 4 The Standard Normal Distribution

Since each normally distributed random variable has its own mean and

standard deviation, the shape and central location of the normal curves will

vary as illustrated in

Figure 9-5

. Thus, one would have to have information

on the areas under the normal curve for all of the normal distributions. This

of course will be impractical. Therefore, we will use information for a

e-Self Review