ou live in State College, where CATA buses always arrive exactly on time, with the timebetween successive

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ou live in State College, where CATA buses always arrive exactly on time, with the timebetween successive buses fixed at 10 minutes. Having lost your watch, you arrive at the bus stopat a random time (assume that buses run 24 hours a day, and that the time that you arrive isuniformly random on a particular day). LetXbe your waiting time.(a) (2 points) What is the distribution of how long you have to wait for the next bus? What isthe average time that you have to wait?(b) (2 points) Given that the bus has not yet arrived after 4 minutes (X >4), what is theprobability that you will have to wait at least 2 more minutes

Posted Date: May 19, 2024 11:13 PM

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ou live in State College, where CATA buses always arrive exactly on time, with the timebetween successive

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