Consider the Prelec function w(p) = e−1.7(− ln p)0.75 . Consider only interior fixed points (so ignore the fixed points w(0) = 0 and w(1) = 1). Let pe be the probability corresponding to the point of inflection and p∗ the fixed point. What is the relation between the fixed point and the point of inflection?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
Problem 8E
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 Consider the Prelec function w(p) = e−1.7(− ln p)0.75 . Consider only interior fixed points (so ignore the fixed points w(0) = 0 and w(1) =
1). Let pe be the probability corresponding to the point of inflection and p∗
the fixed point. What is the relation between the fixed point and the point of
inflection? 

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