Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard deviation 15. Find P2, which is the IQ score separating the bottom 2% from the top 98%. The IQ score that separates the bottom 2% from the top 98% is P2 = Solution in the above question, standard deviation cant be 15, it must have been variance =15 otherwise it is quite positively significantly probable to have negative IQ scores which cannot be true IQ follows N(105,15) p2 = 74.19 the value of IQ that seperates the bottom 2% with 98% will be obviously less than mean(105)... . hence verified that this is the true value of p2.