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250 Biases in probability assessment<br />

around your estimate so that you are 90% confident that your range<br />

will include the true value of that quantity.<br />

(a) The air distance, in statute miles, from Moscow to Santiago.<br />

(b) The number of gold medals won in the Summer Olympic Games<br />

by Finnish competitors from 1896 to 1992.<br />

(c) The area of Greenland in square miles.<br />

(d) The year the ball point pen was invented.<br />

(e) The year that the H. J. Heinz food manufacturing company<br />

was founded.<br />

(f) The population of Belize in 1990.<br />

(g) Denmark’s gross national product (in US dollars) in 1989.<br />

(h) The year that Louis Braille, inventor of the Braille communication<br />

system, was born.<br />

(i) The average depth of the Pacific ocean in feet (to the nearest<br />

thousand).<br />

(j) The length, in miles, of the river Danube.<br />

(15) The following table summarizes the results of a survey of the<br />

reliability of two makes of personal computer (a cheap brand and<br />

an expensive brand).<br />

Cheap brand Expensive brand<br />

Required repair in year<br />

following purchase 120 40<br />

Did not require repair 24 8<br />

Would you conclude that the cost of the computers is associated<br />

with their chances of requiring repair in the year after purchase?<br />

Heuristics and biases<br />

Much of the research on the quality of human judgment of probability<br />

has stemmed from the work of Tversky and Kahneman 1 who published<br />

their ideas in a series of well-written and accessible papers starting in the<br />

early 1970s. The central theme of Tversky and Kahneman’s work is that<br />

people use rules of thumb or heuristics to cope with the complexities of<br />

making estimates of probabilities. While these heuristics can sometimes<br />

provide good estimates and reduce the effort required by the decision

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