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...


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

Extracted 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 () <><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="">

Jun 03, 2022
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