In: Statistics and Probability
a) It is often assumed that IQ scores follow a bell shaped distribution with a mean if 100 and a standard deviation of 16 approximately. Assuming that the distribution is bell shaped, what proportion of individuals will score between 80 and 120? (Report as 0.6834 if the answer is 68.34%)
b) If the distribution was NOT bell shaped, then use Chebychev's inequality to determine the proportion of individuals who would have an IQ between 80 and 120. (Report the number as 0.6722 if the answer was 67.22%.)