Results 1 to 2 of 2

Math Help - Normal distribution problem

  1. #1
    Newbie
    Joined
    May 2010
    Posts
    4

    Normal distribution problem

    This is a university paper question.

    If X and Y are independent normal variables having a common mean μ such that

    P(2X + 4Y <= 10) + P(3X + Y <=9) = 1 and
    P(2X - 4Y <= 6) + P(Y - 3X >= 1) = 1

    Determine the value of
    μ and the ratio of the variance of X and Y.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    Without working through anything, I notice a problem.
    W=2X+4Y is a continuous randome variable, as well as the others.
    So these sums cannot be one, but they can be approximately one.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. A Normal Distribution Problem
    Posted in the Statistics Forum
    Replies: 3
    Last Post: December 13th 2010, 02:04 PM
  2. A Normal Distribution Problem
    Posted in the Statistics Forum
    Replies: 1
    Last Post: December 12th 2010, 09:18 PM
  3. Another normal distribution problem
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: February 27th 2009, 10:11 PM
  4. Normal Distribution Problem.
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: September 7th 2008, 12:28 AM
  5. Normal Distribution Problem
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: April 17th 2008, 11:04 AM

Search Tags


/mathhelpforum @mathhelpforum