Math 116-009 (Fall 2012)
Name:
Quiz 3:
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7.5, 8.1-8.2
09/27/2012
Show all work and include units where appropriate. (20 pts)
1. The Belgian scholar Lambert Quetelet published a distribution of chest measurements of Scottishsoldiers in 1846.His distribution showed that the expected probability of a soldier having a chestmeasurement between 38 and 40 inches was given approximately byP=1√2π0.1-0.9e-y2/2dy.Suppose that a scholar studying 19th century Scottish soldiers’ physical measurements estimates thisprobability using the following calculation:P=1√2π0.1-0.9e-y2/2dy≈1√2π(0.25)(0.7406 + 0.8713 + 0.9629 + 0.9997)≈0.3565.(a) What numerical method did the scholar use, how many steps were used in the method, and whatwas the step size Δy? Be sure it is clear how you arrived at your answer. (4 pts)