t  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)=0.5x for 0

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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)=0.5x for 0<x<2

mean: 1.33

meadian: 1.41

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? 

NOTE: answers are 0.615 & 0. 707 but I am not getting it right 

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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 function f(x)=0.5x for 0<x<2


To find :

i) The proportion of  checkout times within one-half hour of the mean  times.

ii) The proportion of checkout times within one-half hour of the median times

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