Results 1 to 3 of 3

Math Help - Normal Distribution problems..please help..

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    15

    Question Normal Distribution problems..please help..

    My professor gave us these problem and I can't solve it. He didn't really explain well the lesson on normal distribution so I'm just so lost with this. Hope somebody can help.

    1.) Let X be a continuous random variable defined on the interval [0, 2]. The PDF of X is given by
     f(x)= \frac 1 2 X
    a. Graph the PDF of X
    b. Find P(X>1.5)
    c. Find P(X≤1.5)
    d. Find P(0.5<X<1.5)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    The function is just 0 until you reach the origin, then
    it's x/2 until the point (2,1) then at 2 it's zero again.
    Now you really should find the cdf instead.
    However P(X>1.5)=\int_{3/2}^2 x/2 dx
    While P(X\le .5)=1-P(X>1.5)
    Finally P(.5<X<1.5)=\int_{1/2}^{3/2} x/2 dx
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Feb 2009
    Posts
    15
    Quote Originally Posted by matheagle View Post
    The function is just 0 until you reach the origin, then
    it's x/2 until the point (2,1) then at 2 it's zero again.
    Now you really should find the cdf instead.
    However P(X>1.5)=\int_{3/2}^2 x/2 dx
    While P(X\le .5)=1-P(X>1.5)
    Finally P(.5<X<1.5)=\int_{1/2}^{3/2} x/2 dx
    thanks. but i don't understand. sorry. can you please explain more?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Problems about Normal Distribution
    Posted in the Statistics Forum
    Replies: 1
    Last Post: November 22nd 2010, 12:32 AM
  2. Normal Distribution problems
    Posted in the Statistics Forum
    Replies: 3
    Last Post: October 11th 2009, 04:58 PM
  3. Replies: 4
    Last Post: November 17th 2008, 11:07 AM
  4. Question about normal distribution problems
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: October 7th 2007, 12:19 AM
  5. Normal Distribution PRoblems
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: April 19th 2007, 08:20 PM

Search Tags


/mathhelpforum @mathhelpforum