In a psychological experiment investigating how individuals change their assessments of probability in the light of data, subjects have to indicate their probabilities for certain events by moving a pointer on a scale between 0 and 1. Consider a subject who is unable to give any worthwhile assessment of a particular probability, and decides to place the pointer randomly, with each point in (0,1) equally likely to be the point chosen. In such a case, what is the probability that the ratio of the resulting shorter segment to the longer segment is less than 1?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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In a psychological experiment investigating how individuals change their assessments of
probability in the light of data, subjects have to indicate their probabilities for certain events by
moving a pointer on a scale between 0 and 1. Consider a subject who is unable to give any
worthwhile assessment of a particular probability, and decides to place the pointer randomly,
with each point in (0,1) equally likely to be the point chosen. In such a case, what is the
probability that the ratio of the resulting shorter segment to the longer segment is less than 1?
Transcribed Image Text:In a psychological experiment investigating how individuals change their assessments of probability in the light of data, subjects have to indicate their probabilities for certain events by moving a pointer on a scale between 0 and 1. Consider a subject who is unable to give any worthwhile assessment of a particular probability, and decides to place the pointer randomly, with each point in (0,1) equally likely to be the point chosen. In such a case, what is the probability that the ratio of the resulting shorter segment to the longer segment is less than 1?
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