Results 1 to 2 of 2

Math Help - Probability of that system function

  1. #1
    Banned
    Joined
    May 2009
    Posts
    27

    Probability of that system function

    A system is made up of 3 components that operate independently from one another. For the system to function , atleast two components must function . We suppose that the probability of functioning of component no.1 is equal to 0.95, that of component no.2 is 0.9 and that of component no.3 is 0.8


    i) What is the probability that the system functions?
    ii) Given that the system functions , what is the probability that exactly two components function?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Stats View Post
    A system is made up of 3 components that operate independently from one another. For the system to function , atleast two components must function . We suppose that the probability of functioning of component no.1 is equal to 0.95, that of component no.2 is 0.9 and that of component no.3 is 0.8


    i) What is the probability that the system functions?
    ii) Given that the system functions , what is the probability that exactly two components function?
    Call the components A, B and C.

    i) Calculate Pr(A and B and C') + Pr(A and B' and C) + Pr(A' and B and C) + Pr(A and B and C).

    ii) Calculate [Pr(A and B and C') + Pr(A and B' and C) + Pr(A' and B and C)]/[Answer to (i)].
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: January 15th 2011, 02:36 PM
  2. Replies: 0
    Last Post: December 6th 2010, 04:20 PM
  3. Probability System of four independent components
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: September 18th 2010, 09:03 AM
  4. Probability that the system function
    Posted in the Statistics Forum
    Replies: 2
    Last Post: December 17th 2009, 03:10 PM
  5. Probability - system of components
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: October 16th 2008, 04:42 PM

Search Tags


/mathhelpforum @mathhelpforum