Results 1 to 2 of 2

Math Help - Predicting component failture with joint density functions

  1. #1
    Junior Member
    Joined
    Sep 2009
    Posts
    69

    Predicting component failture with joint density functions

    A device contains two components. The device fails if either component fails. The joint density function of the lifetimes of the components, measured in hours, is f(s, t) , where 0 < s < \infty and 0 < t < \infty. What is the probability that the device fails during the first half hour of operation, expressed in terms of the cumulative distribution function F (s, t)? Thanks for your help
    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 Intsecxtanx View Post
    A device contains two components. The device fails if either component fails. The joint density function of the lifetimes of the components, measured in hours, is f(s, t) , where 0 < s < \infty and 0 < t < \infty. What is the probability that the device fails during the first half hour of operation, expressed in terms of the cumulative distribution function F (s, t)? Thanks for your help
    You need to express Pr(S < 1/2 or T < 1/2) = 1 - Pr(S > 1/2 and T > 1/2) in terms of the cdf.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help with conditional probability of joint density functions.
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: November 17th 2009, 11:06 PM
  2. Replies: 1
    Last Post: November 16th 2009, 06:22 PM
  3. Replies: 1
    Last Post: November 11th 2009, 05:32 PM
  4. joint probability density functions help
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: September 27th 2009, 11:29 PM
  5. joint probability density functions
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: March 24th 2009, 01:31 PM

Search Tags


/mathhelpforum @mathhelpforum