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Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 80 and 1

Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 80 and 1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Text Transcription:** "Assume that adults have IQ scores that are normally distributed with a mean of μ = 100 and a standard deviation σ = 20. Find the probability that a randomly selected adult has an IQ between 80 and 120." **Explanation:** This text refers to a statistical concept involving the normal distribution, which is a common continuous probability distribution in statistics. This particular scenario assumes that IQ scores follow a normal distribution, characterized by: - **Mean (μ):** The average IQ score is 100. - **Standard Deviation (σ):** The standard deviation is 20, which indicates the spread or dispersion of the IQ scores around the mean. The problem involves finding the probability that an adult's IQ falls between 80 and 120. This is a question about calculating the area under the normal distribution curve between these two IQ values. To solve this, one would typically use a standard normal distribution table or computational tools to find the z-scores corresponding to 80 and 120, and then determine the probability between these z-scores.
Transcribed Image Text:**Text Transcription:** "Assume that adults have IQ scores that are normally distributed with a mean of μ = 100 and a standard deviation σ = 20. Find the probability that a randomly selected adult has an IQ between 80 and 120." **Explanation:** This text refers to a statistical concept involving the normal distribution, which is a common continuous probability distribution in statistics. This particular scenario assumes that IQ scores follow a normal distribution, characterized by: - **Mean (μ):** The average IQ score is 100. - **Standard Deviation (σ):** The standard deviation is 20, which indicates the spread or dispersion of the IQ scores around the mean. The problem involves finding the probability that an adult's IQ falls between 80 and 120. This is a question about calculating the area under the normal distribution curve between these two IQ values. To solve this, one would typically use a standard normal distribution table or computational tools to find the z-scores corresponding to 80 and 120, and then determine the probability between these z-scores.
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