Assume that adults have IQ scores that are normally distributed with a mean of 98 and a standard deviation of 20.9. Find the probability that a randomly selected adult has an IQ greater than 135.2. (Hint: Draw agraph.)The probability that a randomly selected adult from this group has an IQ greater than 135.2 is(Round to four decimal places as needed.)

Answered: Image /qna-images/answer/60271d0a-5660-4e86-90d6-099a4ff21ee1.jpg

Answered: Assume that adults have IQ scores that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The results of a certain medical test are normally distributed with a mean of 127 and a standard deviation of 12. (A reading above 146 is considered unhealthy.) Use the given table to find the percentage of people with readings above 133. Click the icon to view the table. EXIS The percentage of people with readings above 133 is. (Round the final answer to the nearest bundredth as needed. Round the z-score to the nearest tenth as needed.)
Assume that adults have IQ scores that are normally distributed with a mean of 103.1 and a standard deviation 20.6. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)
Assume that adults have IQ scores that are normally distributed with a mean of 95.3 and a standard deviation of 16.4. Find the probability that a randomly selected adult has an IQ greater than 125.0. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 125.0 is ☐ . (Round to four decimal places as needed.)
Assume that adults have IQ scores that are normally distributed with a mean of 98.8 and a standard deviation of 15.2. Find the probability that a randomly selected adult has an IQ greater than 122.2. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 122.2 is (Round to four decimal places as needed.)
Assume that adults have IQ scores that are normally distributed with a mean of 103.6 and a standard deviation 22.7. 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.)
Assume that adults have IQ score that are normally distributed with a mean of 100.4 and a standard deviation of 19.1. Find the probability that a randomly selected adult has an IQ greater than 130.7 (hint draw a graph.) the probability that a randomly selected adult from this group has an IQ greater than 130.7
Assume that adults have IQ scores that are normally distributed with a mean of 102.1 and a standard deviation 16.3. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.)
Assume that adults have IQ scores that are normally distributed with a mean of 104.5 and a standard deviation 19.1. 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.)
Assume that adults have IQ scores that are normally distributed with a mean of 104.9 and a standard deviation of 16. Find the probability that a randomly selected adult has an IQ greater than 132.8. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 132.8 is (Round to four decimal places as needed.)
Assume that adults have IQ scores that are normally distributed with a mean of 99.1 and a standard deviation 17.6. 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.)
Assume that adults have IQ scores that are normally distributed with a mean of 97.2 and a standard deviation 21.8. 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.)
Assume that adults have IQ scores that are normally distributed with a mean of 104.7 and a standard deviation of 24.1. Find the probability that a randomly selected adult has an IQ greater than 137.1. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 137.1 is (Round to four decimal places as needed.)

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