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
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Author:Amos Gilat
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**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.
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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Solution: 

Let X be the IQ scores are normally distributed with mean 100 and standard deviation 15. 

X~N(μ=100,σ=15)

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