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The IQ scores of a population are normally distributed with a mean of 100 and a ...

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The IQ scores of a population are normally distributed with a mean of 100 and a standard deviation of 15. Find the range of IQ scores that covers the middle 95% of the population.

Given: P(a<X<b)=P(-c<Z<c)=95%. 

The value of b is __________.

Thus, the middle 95% covers IQ scores from a to b.

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100%
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