Results 1 to 4 of 4

Math Help - Not the Uniform Distribution

  1. #1
    Junior Member
    Joined
    Oct 2008
    From
    Dallas, TX
    Posts
    71

    Not the Uniform Distribution

    Let X have the following CDF:









    (a)Find the PDF f(x).
    (b)Find P(1 < X < 1.5).
    Last edited by CaptainBlack; February 24th 2010 at 08:26 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Dec 2008
    From
    Indiana
    Posts
    127
    Quote Originally Posted by aaronrj View Post
    Let X have the following CDF:









    (a)Find the PDF f(x).
    (b)Find P(1 < X < 1.5).
    The PDF is the derivative of your CDF. Use this fact to get started.
    And you can either use your CDF or PDF to calculate part (b). (Think about what it is asking)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Oct 2008
    From
    Dallas, TX
    Posts
    71
    so would i just find the derivative of 1/8x + 3/16x^2 and plug in for F(b)-F(a)? In which case it would be 1/8 + 3/16x = 1/8 + 3/16(2) - 1/8+3/16(0)= 3/8?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by aaronrj View Post
    so would i just find the derivative of 1/8x + 3/16x^2 and plug in for F(b)-F(a)? In which case it would be 1/8 + 3/16x = 1/8 + 3/16(2) - 1/8+3/16(0)= 3/8?
    The derivative of F(x) is the density.

    The probability P(a<X<b)=F(b)-F(a)

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Mixing a uniform distribution with a normal distribution
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: July 8th 2011, 08:27 AM
  2. Uniform Distribution
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: May 12th 2011, 01:44 AM
  3. Uniform Distribution
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: November 23rd 2009, 08:38 PM
  4. Uniform Distribution
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: October 2nd 2009, 04:54 AM
  5. Uniform Distribution
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: May 28th 2009, 05:31 PM

Search Tags


/mathhelpforum @mathhelpforum