IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Mensa is an international society that has one - and only one - qualification for membership: a score in the top 2% of the population on an IQ test.
(a) What IQ score should one have in order to be eligible for Mensa?

(b) In a typical region of 55,000 people, how many are eligible for Mensa?