Results 1 to 5 of 5

Math Help - Uniform Distribution

  1. #1
    Member
    Joined
    Mar 2009
    Posts
    179
    Thanks
    1

    Uniform Distribution

    Sorry, im no good with LaTex :-(

    Let Y be a random variable with the uniform distribution:

    Y~U(2,10)

    (a) What is E(Y)

    (b) What is the standard deviation of Y?

    (c) Input the CDF fy(Y) for y in the range 2 <or equal to y <or equal to 10?

    (d) What is the probability that Y<8?

    (e) What is the probability that 7 < Y < 8?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by sirellwood View Post
    Sorry, im no good with LaTex :-(

    Let Y be a random variable with the uniform distribution:

    Y~U(2,10)

    (a) What is E(Y)

    (b) What is the standard deviation of Y?

    (c) Input the CDF fy(Y) for y in the range 2 <or equal to y <or equal to 10?

    (d) What is the probability that Y<8?

    (e) What is the probability that 7 < Y < 8?
    What have you tried? Where are you stuck? Do you know what the pdf is that you need to use?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Mar 2009
    Posts
    179
    Thanks
    1
    Im pretty sure part (a) = 6, part (b) = 2.309.... (i was just checking these before moving on).

    For part (c), is it just 1, because it should cover the whole range between 2 and 10?

    part (d) confused me because it is just less than rather than less than or equal to, and same with part (e)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by sirellwood View Post
    Im pretty sure part (a) = 6, part (b) = 2.309.... (i was just checking these before moving on).

    For part (c), is it just 1, because it should cover the whole range between 2 and 10?

    part (d) confused me because it is just less than rather than less than or equal to, and same with part (e)
    (a) looks OK. For (b) an exact answer can surely be found (your answer is correct to three decimal places).

    I don't know what (c) means.

    (d) \Pr(Y < 8) = \frac{1}{8} \int_2^8 dy (or just use basic geometry and get the area of a rectangle).

    (e) \Pr(7 < Y < 8) = \frac{1}{8} \int_7^8 dy (or just use basic geometry and get the area of a rectangle)
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member
    Joined
    Mar 2009
    Posts
    179
    Thanks
    1
    Thank You :-)
    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: August 16th 2010, 08:51 PM
  3. Not the Uniform Distribution
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: February 24th 2010, 08:24 PM
  4. Uniform Distribution
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: November 23rd 2009, 08:38 PM
  5. Uniform Distribution!!!
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: November 28th 2007, 05:30 AM

Search Tags


/mathhelpforum @mathhelpforum