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A person must score in the upper 5% of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society.

A person must score in the upper 5% of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society. If IQ scores are normally distributed with a mean of 80 and a standard deviation of 20

a) What score must a person have to qualify for Mensa?

b) If a person is chosen randomly, what is the chance that the score will be at least 85?

c) If a person is chosen randomly, what is the chance that score will be between 70 and 80?

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