Suppose that IQ is normally distributed with mean 90 and standard deviation 10. Find the following. What is the probability that a randomly selected individual has an IQ greater than 115? What is the probability that a randomly selected individual has an IQ between 90 and 110? What is the probability that a randomly selected individual has an IQ less than 105? What IQ is the 50th percentile for this population? What IQ is the 67th percentile for this population? a. 0.933 b. 0.477 c. 90 d. 94.4 e. 0.006
Added by Tina G.
Step 1
5 \] Using a standard normal distribution table or calculator, we find the probability to the right of 2.5 is approximately 0.006. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Thuc Nguyen and 100 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The average IQ is 100. The distribution is normal with a standard deviation of 15. A. What is the probability that a randomly selected person has an IQ greater than 117? B. What percentage of the population has an IQ between 88 and 108? C. What IQ represents the 98th percentile? (That’s the score that 98% of the population would fall below.)
Robin C.
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. (Hint - Draw normal distribution pictures.) a) If one person is randomly selected, what is the probability that the person's IQ falls between 110 and 130? b) What percentage of IQ scores are less than 110? c) If a person has an IQ score that falls at the 90th percentile, what is the value of that IQ? d) If 5 people are randomly selected, what is the probability that their mean IQ will be greater than 115?
Sheryl E.
The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15. (a) Write the formula for the density function of IQ scores. (b) Estimate the fraction of the population with IQ between 115 and 120 .
Using the Definite Integral
Probability, Mean, and Median
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD