The general probability density function has the form where and are constants, with >

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The general probability density function has the form

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where μ and σ are constants, with σ > 0.

a. Show that f (x) has an absolute maximum at x =μ and inflection points at x  = μ + σ and x =μ − σ.

b. Show that f(μ + c) = f(μ − c) for every number

c. What does this tell you about the graph of f(x)?

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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