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In: Statistics and Probability

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.


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 _______ (Round to four decimal places as needed.)


Find the indicated IQ score. 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 indicated IQ score is _______ (Round to the nearest whole number as needed.)


Assume that adults have IQ scores that are normally distributed with a mean of 102.9 and a standard deviation 23.5. Find the first quartile Q. which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) 

The first quartile is _______ (Type an integer or decimal rounded to one decimal place as needed.)

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