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Let x denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a student, and suppose that x has density func- tion f(x) = .5x for 0

Let x denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a student, and suppose that x has density func- tion f(x) = .5x for 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Let x denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a student, and suppose that x has density func- tion f(x)5.5x for 0,x,2.

 

Let x denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a student, and suppose that x has density func- tion f(x) = .5x for () <x<2. a. What is the mean value of x? Why is the mean value not 1, the midpoint of the interval of posi- tive density? b. What is the median of this distribution, and how does it compare to the mean value? c. What proportion of checkout times are within one-half hour of the mean time? What propor- tion are within one-half hour of the median time?
Transcribed Image Text:Let x denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a student, and suppose that x has density func- tion f(x) = .5x for () <x<2. a. What is the mean value of x? Why is the mean value not 1, the midpoint of the interval of posi- tive density? b. What is the median of this distribution, and how does it compare to the mean value? c. What proportion of checkout times are within one-half hour of the mean time? What propor- tion are within one-half hour of the median time?
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