Several intelligence tests follow a normal distribution with a mean of 100 and a standard deviation of 15.
(A) Determine the percentage of the population that would obtain a score between 95 and 110.
(B) MENSA (a high IQ society) allows individuals sto join if they are in the top 1% of the IQ distribution. What score would you have to score in order to be able to join MENSA?
(C) For a population of 2,500, how many are expected to have a score above 125?
(D) What interval centered at a score of 100 contains 50% of the population? [This is tricky and extra credit -- just think it t hrough]