Results 1 to 2 of 2

Math Help - Reliability

  1. #1
    Newbie
    Joined
    Jun 2010
    Posts
    1

    Reliability

    Hi please help me to solve this problem.

    There are 16 components in a non redundant system.The average reliability by using a redundant system is 0.99. In order to achieve atleast this system reliability by using a redundant system with 4 identical new components, what should be the least reliability of each new component?
    Last edited by shalini; June 8th 2010 at 02:51 AM. Reason: spell errors
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    May 2010
    Posts
    1,027
    Thanks
    28
    I assume that you are defining reliabiulity to be the chance of a system not failing within some time period.


    In that case:

    P(system doesn't fail) = p(at least 1 component works)
    =1-P(all components fail)
    =1-(1-r)^4

    If there are 4 identical components with reliability r.

    So just solve
    .99 =1-(1-r)^4
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Conditional Reliability
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: July 16th 2011, 12:09 AM
  2. Reliability of a Test
    Posted in the Statistics Forum
    Replies: 4
    Last Post: June 6th 2011, 07:13 PM
  3. Reliability Function!
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: May 24th 2010, 07:00 AM
  4. Probability Question (reliability)
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: April 18th 2010, 12:16 AM
  5. Reliability (statistics)
    Posted in the Statistics Forum
    Replies: 3
    Last Post: November 19th 2008, 01:56 PM

Search Tags


/mathhelpforum @mathhelpforum