{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ex-5 - Spring 2011 OR3510/5510 Problem Set 5 Reading You...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Spring 2011 OR3510/5510 Problem Set 5 Reading: You should be browsing in Chapter 5 after memorizing Chapter 4. Because of the upcoming prelim, do not hand this in. However, you are responsible for the material. 1. The lifetime of a radio is exponentially distributed with a mean of ten years. If Jones buys a ten-year-old radio, what is the probability that it will be working after an additional ten years? 2. The time T required to repair a machine is an exponentially distributed ran- dom variable with mean 1/2 hour. (a) What is the probability that a repair time exceeds 1/2 hour? (b) What is the probability that a repair takes at least 12 1/2 hours given that its duration exceeds 12 hours? 3. A post office has two clerks. Three people, Ann, Bruce, and Charles, enter simultaneously. Ann and Bruce go directly to the clerks, and Charles waits until either Ann or Bruce leaves before he begins service. What is the probability that Ann is still in the post office after the other two have left when (a) the service time for each clerk is exactly (nonrandom) ten minutes?
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern