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Chapter 9: The Normal Probability Distribution

Figure 9-34:

Area and probability value for

P

(

X

109)

Example 9-11:

Suppose annual starting salaries for full time nurse

practitioners graduates are normally distributed with a mean of $83,400 and

a standard deviation of $19,300. What is the probability that a recent nurse

practitioner graduate will earn a starting salary between $72,000 and

$89,000?

Solution:

Let

X

= annual starting salary. Then the random variable

X

will

be normally distributed with a mean of 83,400 and a standard deviation of

19,300. Based on the problem, we need to find

P

(72,000

X

89,000).

Using the

Normal Probability Distribution

workbook to solve, we get

the

value of 0.3368. The result is shown in

Figure 9-35

.

Click here for the Normal Probability Distribution Workbook