I am taking college statistics and I am doing a section about finding the x and z values when the area under the normal distribution curve is known.

This is the actual problem..

Let x be a continuos random variable that follows a normal distribution with a mean of 200 and a standard deviation of 25. Find the value of x so that the area under the normal curve between the mean and x is .4525 and the value of x is less than u.

Ok now I have the answer in the back of the book but I have NO idea how to do this problem.

PPLEEEEEAASSSEEE HELP!! i have a test tomorrow  

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9-1-07 the happiest day of my life3 N.C.R. 3

Using the formula for z:

     x - mean
z = ------------
       sd

            x - 200
-1.67 = -------------
              25

Solving for x:
(-1.67)(25) + 200 = x

Therefore,
x = 158.25

Is my answer correct?

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Ang Akong Balay