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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

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Question

A model for lifetimes, with a bathtub-shaped hazard rate, is the ex-
ponential power distribution with survivai function S(x) = exp{1
exp((A.x)"]}.
–
(a) If a = 0.5, show that the hazard rate has a bathtub shape and find
the time at which the hazard rate changes from decreasing to increasing.
(b) If a = 2, show that the hazard rate of x is monotone increasing.

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