Intelligence quotients (IQ scores) are normally distributed with a mean of 100 and a standard deviation of 15. An individual is selected at random, determine the probability that the individual has IQ scores. a) Exactly 130  b) People who score in the top 2.5% of the distribution of scores are considered geniuses. What is the minimum score one needs to obtain in order to be considered a genius?  c) People who score in the bottom 10% of the distribution of scores often needs re-testing. What is the highest score one could achieve and still needs to be retested?

A First Course in Probability (10th Edition)
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Intelligence quotients (IQ scores) are normally distributed with a mean of 100 and a standard deviation of 15. An individual is selected at random, determine the probability that the individual has IQ scores.

a) Exactly 130 

b) People who score in the top 2.5% of the distribution of scores are considered geniuses. What is the minimum score one needs to obtain in order to be considered a genius? 

c) People who score in the bottom 10% of the distribution of scores often needs re-testing. What is the highest score one could achieve and still needs to be retested? 

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