In: Statistics and Probability
Arsenic occurs naturally in very low concentrations. In healthy human adults arsenic blood concentrations are approximately Normally distributed with mean 3.9 μg/dL (micrograms per decilitre) and standard deviation 1.4 μg/dL. For the purposes of this question, assume that the distribution of arsenic blood concentrations is exactly as just described. (a) What proportion of healthy adults have arsenic blood concentrations between 2 and 4.5 μg/dL? [3] (b) Choosing a healthy adult at random, what is the chance that their arsenic blood concentration exceeds 6.8 μg/dL? [2] (c) What are the lower and upper limits of the middle 80% of arsenic blood concentrations in healthy human adults?