Effectively, the exercise prompt states "in the presence of the assumption that IQ scores are normally distributed, answer this question..." So you're allowed to assume that all of the properties of the normal distribution hold for the sample data: the distribution is symmetric, the distribution function characterizes IQ scores, IQ scores may be any real number, and so on. Obviously some of these are impossible, since, to my knowledge, IQ scores must fall in some interval, but you're still permitted to assume them for the purposes of the question.
Sycorax
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