Results 1 to 2 of 2

Math Help - CPU time requirement (probability)

  1. #1
    Banned
    Joined
    May 2009
    Posts
    27

    CPU time requirement (probability)

    The CPU time requirement X of a typical job can be modified by the following distribution

    P(X \le t) = \alpha (1-{e_1}^{-\lambda_1 t}) + (1-\alpha)(1-e^{-\lambda_2t}) where \alpha =0.6, \lambda_1 = 10 and \lambda_2 = 1.

    Compute
    i) probability density function of X
    ii) the mean service time .
    iii) Plot the distribution function and density function of X.
    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
    The CPU time requirement X of a typical job can be modified by the following distribution

    P(X \le t) = \alpha (1-{e_1}^{-\lambda_1 t}) + (1-\alpha)(1-e^{-\lambda_2t}) where \alpha =0.6, \lambda_1 = 10 and \lambda_2 = 1.

    Compute
    i) probability density function of X
    ii) the mean service time .
    iii) Plot the distribution function and density function of X.
    You have been given the cdf of X. Differentiate this with respect to t to get the pdf of X. Now answer the questions by using the usual definitions and formulas. It is assumed that you have the calculus background necesary to do the calculations.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Cholesky decomposition - positive values requirement
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 22nd 2010, 12:02 PM
  2. Replies: 0
    Last Post: March 17th 2010, 01:49 PM
  3. Probability in different time frames
    Posted in the Statistics Forum
    Replies: 0
    Last Post: February 9th 2010, 08:01 PM
  4. The CPU time requirement X
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: December 18th 2009, 03:16 PM
  5. Probability distribution (NEED HELP BIG TIME)
    Posted in the Advanced Statistics Forum
    Replies: 7
    Last Post: April 11th 2008, 12:07 AM

Search Tags


/mathhelpforum @mathhelpforum