Suppose IQ scores are normally distribut a mean of 100 and a standard deviation What is the probability a random person 10 greater than 89?
Suppose IQ scores are normally distribut a mean of 100 and a standard deviation What is the probability a random person 10 greater than 89?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:**Understanding Normal Distribution of IQ Scores**
IQ scores are typically modeled using a normal distribution. In this model, we assume:
- The mean (average) IQ score is 100.
- The standard deviation is 15.
**Probabilistic Question:**
What is the probability that a random person has an IQ greater than 89?
To solve this, we need to calculate the cumulative probability for an IQ score of 89 and then subtract this value from 1 to find the probability of a score being greater than 89. This involves using statistical tools or tables for the standard normal distribution.
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Let X be the IQ scores are normally distributed with mean 100 and standard deviation 15.
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