Assume that adults have IQ scores that are normally distributed with a mean of 100.9 and a standard deviation 24.4. Find the first quartile Q₁, 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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Assume that adults have IQ scores that are normally distributed with a mean of 100.9 and a standard deviation 24.4. Find the first quartile Q₁, 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.)
Transcribed Image Text:Assume that adults have IQ scores that are normally distributed with a mean of 100.9 and a standard deviation 24.4. Find the first quartile Q₁, 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.)
Expert Solution
Step 1: Given Information

Let 'X' be the random variable representing IQ scores.

According to the given information,

X tilde N open parentheses mu equals 100.9 comma space sigma equals 24.4 close parentheses


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