Results 1 to 3 of 3

Math Help - Uniform Distribution Question

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    21

    Uniform Distribution Question

    Hi, I need help with this question

    What is the probability that a random variable V which is uniformly
    distributed on the interval [0; 1] lies within 2 standard deviation units of its mean?

    I was told to standardise this variable by taking away its mean which is 0.5 and dividing by it's standard deviation which is 1/\sqrt12

    With that I end up with z-values -2 and 2
    P(-2 \leq z \leq 2) = 0.9545

    Is it correct to use a normal here?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Apr 2009
    Posts
    677
    Quote Originally Posted by alan4cult View Post
    Hi, I need help with this question

    What is the probability that a random variable V which is uniformly
    distributed on the interval [0; 1] lies within 2 standard deviation units of its mean?

    I was told to standardise this variable by taking away its mean which is 0.5 and dividing by it's standard deviation which is 1/\sqrt12

    With that I end up with z-values -2 and 2
    P(-2 \leq z \leq 2) = 0.9545

    Is it correct to use a normal here?
    No. You can use that IFF the variable follows Standard Normal Distr.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by alan4cult View Post
    Hi, I need help with this question

    What is the probability that a random variable V which is uniformly
    distributed on the interval [0; 1] lies within 2 standard deviation units of its mean?

    I was told to standardise this variable by taking away its mean which is 0.5 and dividing by it's standard deviation which is 1/\sqrt12

    With that I end up with z-values -2 and 2
    P(-2 \leq z \leq 2) = 0.9545

    Is it correct to use a normal here?
    \mu = \frac{1}{2} and \sigma = \frac{1}{\sqrt{12}} (see http://en.wikipedia.org/wiki/Uniform...n_(continuous)). It is simple to calculate \int_{\frac{1}{2} - \frac{2}{\sqrt{12}}}^{\frac{1}{2} + \frac{2}{\sqrt{12}}} \, dv.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Continuous uniform distribution question
    Posted in the Statistics Forum
    Replies: 2
    Last Post: August 27th 2011, 03:03 PM
  2. [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
  3. Uniform Distribution question
    Posted in the Advanced Statistics Forum
    Replies: 9
    Last Post: May 16th 2011, 10:21 AM
  4. A question about PDF of Uniform Distribution
    Posted in the Statistics Forum
    Replies: 4
    Last Post: February 21st 2011, 09:52 AM
  5. [SOLVED] Uniform Distribution Question
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: November 10th 2007, 06:53 AM

Search Tags


/mathhelpforum @mathhelpforum