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Chapter 9: The Normal Probability Distribution

399

Figure 9-37:

Area associated with

z

0

such that

P

(

z

z

0

) = 0.3

Using the area of 0.2, we have from the body of the 0 to

-value table, a

corresponding

z

score of 0.52. Since, from

Figure 9-37

,

is to the right of

0, then

= 0.52. We can use this information to solve for

by using the

equation

or 0.52 = (

– 700)/15. Solving gives

= 707.8

708. That is, the minimum score the college will accept is approximately

708.

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