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Find the area of the shaded region. The graph to the right depicts IQ scores of

ID: 3359880 • Letter: F

Question

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

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The area of the shaded region is

nothing .

(Round to four decimal places as needed.)

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

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A graph with a bell-shaped curve, divided into 2 regions by a vertical line. The vertical line extends from the bell curve to the x-axis, and is located on the right half, under the curve. The region on the left of this line is shaded. The x-axis below the vertical line is labeled 120.

Explanation / Answer

To calculate the z-value associated with IQ 110 and consult z-table values for the area (probability),
z-value = (110 - mean) / std. dev.

z-value = (110 - 100) / 15 = 0.666666667 approx 0.67
Probability(Pr) ( X < 110 ) = 0.7486

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