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Explain the Role of Area in the Normal Density Function μ=610\mu = 610

Question 7

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Explain the Role of Area in the Normal Density Function
-The analytic scores on a standardized aptitude test are known to be normally distributed with mean μ=610\mu = 610 and standard deviation σ=115\sigma = 115 .
(a) Draw a normal curve with the parameters labeled.
(b) Shade the region that represents the proportion of test takers who scored less than 725 .
(c) Suppose the area under the normal curve to the left of X=725X = 725 is 0.84130.8413 . Provide two interpretations of this result.

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