In: Statistics and Probability
A person must score within the top 2% of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society. There are 110,000 Mensa members in 100 countries throughout the world (Mensa International website, January 8, 2013). Assume IQ scores are normally distributed with a mean of 100 and a standard deviation of 12.
a. What is the probability that a randomly selected person has an
IQ less than 110?
b. What is the probability that a randomly selected person has an
IQ higher than 133?
c. What is the probability that a randomly selected person has an
IQ between 110 and 120?
d. What score must a person have to qualify for Mensa?