Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random person has an IQ between 110 and 125?

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Suppose IQ scores are normally distributed with
a mean of 100 and a standard deviation of 15.
What is the probability a random person has an
IQ between 110 and 125?
Transcribed Image Text:Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random person has an IQ between 110 and 125?
Expert Solution
Step 1

Let X denote the IQ scores and it follows normal distribution

That is,

X follows N(μ=100,σ=15)

The probability that a random person has an IQ between 110 and 125 is,

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