Mensa is organization whose members possess IQ's in the top 2%. It is reasonable to suppose IQ is normally distributed with the mean 100 and standard deviation of 16.
(a) Determine the IQ needed to be a member of Mensa.
(b) All students at a specific university have IQover 120. If the random student from this university is chosen, determine the probability their IQ is above that required to be accepted to Mensa.
(c) Compute the probability that the random persons IQ is above 120.