Suppose the IQ scores of a million individuals have a mean of 100 and an SD of 10.
a) Without making any further assumptions about the distribution of the scores, find an upper bound on the number of scores exceeding 130.
b) Find a smaller upper bound on the number of scores exceeding 130 assuming the distribution of scores is symmetric about 100.
c) Estimate the number of scores exceeding 130 assuming that the distribution is approximately normal.