CH_04S_10th_Edition - Reliability CHAPTER 4S RELIABILITY...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Reliability CHAPTER 4S RELIABILITY PROBLEMS P1. A system has four components, A, B, C, D. The probability that each component will work is P(A) =.90, P (B) = .70, P (C) =.95, and P (D) = .60; all components must operate in order for the system to work. Since the probabilities associated with components B and D are low, backup components, B-B and D-D, with the same probabilities are provided: a. Draw the box and line diagram for this system. b. What is the probability that each component will not work? c. What is the probability that the system will work without the backup components? d. List the ways in which the system can work with the backup components. e. What is the probability that the system will work with the backup components? f. How much improvement in reliability do the backup components provide? P2. A simple system consists of three components, A. B, C, as shown below, with the probability that each component will work. Component A costs $20,000 each, B costs $10,000 each, and C costs $6,000 each. > P (A) = .99 P (B) = .99 P (C) = .75 > a. What is the probability that the system will work? b. Management wishes to have at least a .95 probability that the system will work, and proposes to achieve this goal by adding redundant component C’s to the system, which are identical to the existing component C. Each new C would switch on if the preceding C’s failed. How many C’s will be required? c. Draw the diagram of the new system. d. How much will it cost to achieve a .95 probability by adding C’s? P3. The mean operating life (MTBF) of TV picture tubes is 4,000 hours, and the failure rate of the tubes can be modeled by a negative exponential distribution. Use Table 4S-1 in your textbook, or use the e x function on your calculator to solve these problems.
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
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