Results 1 to 2 of 2

Math Help - Beta pdf

  1. #1
    Senior Member Danneedshelp's Avatar
    Joined
    Apr 2009
    Posts
    303

    Beta pdf

    Q: The weekly repair cost Y for a machine has a pdf given by

    f(y)=\left\{\begin{array}{cc}3(1-y)^{2},&\mbox{}<br />
0<y<1\\0,&\mbox{}elsewhere\end{array}\right.

    with measurements in hundreds of dollars. How much money should be budgeted each week for rpair costs so that the actual cost will exceed the budgeted amount only 10% of the time?

    I am not sure how to start this problem. Do I begin by finding P(Y>.1) or do I just need to sovle for the lower limit of the integral equal to 10% and then multiply by $100?
    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 Danneedshelp View Post
    Q: The weekly repair cost Y for a machine has a pdf given by

    f(y)=\left\{\begin{array}{cc}3(1-y)^{2},&\mbox{}<br />
0<y<1\\0,&\mbox{}elsewhere\end{array}\right.

    with measurements in hundreds of dollars. How much money should be budgeted each week for rpair costs so that the actual cost will exceed the budgeted amount only 10% of the time?

    I am not sure how to start this problem. Do I begin by finding P(Y>.1) or do I just need to sovle for the lower limit of the integral equal to 10% and then multiply by $100?
    You need to find the value of a such that \Pr(Y \geq a) = 0.1.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Beta Integral
    Posted in the Calculus Forum
    Replies: 4
    Last Post: January 8th 2010, 04:14 AM
  2. beta distribution
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: May 13th 2009, 06:39 PM
  3. derive cos(alpha+beta) sin(alpha+beta)?
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: December 7th 2008, 03:27 PM
  4. beta distribution
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: November 30th 2008, 10:49 AM
  5. beta function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 21st 2008, 03:57 PM

Search Tags


/mathhelpforum @mathhelpforum