Question: If the IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
(a) Find the probability that a randomly selected person has an IQ score between 88 and 112.
(b) If 100 people are randomly selected, what is the standard deviation of the sample mean IQ score.
(c) If 100 people are randomly selected, find the probability that their mean IQ score is greater than 103.