Results 1 to 2 of 2

Math Help - If the moment generating of X is M (t) = exp(100t + 200t^2)

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    16

    If the moment generating of X is M (t) = exp(100t + 200t^2)

    If the moment generating of X is M (t) = exp(100t + 200t^2), find:


    1. the mean
    2. the variance
    3. P (160 < X < 180)
    4. P (60 <= X <= 140)
    Last edited by mr fantastic; November 2nd 2009 at 03:13 PM. Reason: Added post title to main text.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Hello,

    E(X^n)=the n-th derivative of M(t) taken at t=0

    And since the mean is E(X) and the variance is E(X)-E(X), you can do the first two questions easily.

    The last two questions require that you recognize the distribution whose mgf is this one.
    Last edited by mr fantastic; November 2nd 2009 at 03:15 PM. Reason: Let the OP do some work - s/he can look up a table of mgf's and find the corresponding distribution themselves.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. moment generating
    Posted in the Advanced Statistics Forum
    Replies: 5
    Last Post: May 16th 2009, 04:01 AM
  2. Help with moment generating function
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: April 7th 2009, 11:23 PM
  3. Moment-Generating Function - Need help!!!
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: March 1st 2009, 06:40 PM
  4. moment-generating function
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: May 3rd 2008, 08:34 PM
  5. Moment generating
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: March 6th 2008, 12:36 AM

Search Tags


/mathhelpforum @mathhelpforum