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For a large population of adults in a city, their IQ scores are normally distributed with mean 108 with standard deviation of 12. a) Suppose

For a large population of adults in a city, their IQ scores are normally distributed with mean 108 with standard deviation of 12.

a) Suppose that a person with IQ higher than 130 is considered as a "genius". Find the proportion of adults in this city that are "genius".

b) If two adults are randomly selected from the city, what is the probability that their average IQ score is greater than 120?

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