Results 1 to 2 of 2

Thread: probability

  1. #1
    Member
    Joined
    Jan 2008
    Posts
    154

    probability

    The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value $\displaystyle 10 $ min and a standard deviation $\displaystyle 2 $ min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most $\displaystyle 11 $ minutes?

    So is this just $\displaystyle P \left(z \leq \frac{1}{2/\sqrt{5}} \right) = \Phi(1.118) = 0.8686 $ and $\displaystyle P \left(z \leq \frac{1}{2/\sqrt{6}} \right) = \Phi(0.816) = 0.7939 $?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Jan 2008
    From
    UK
    Posts
    484
    Thanks
    66
    I get 0.8682 for the first one.

    On the second you have the wrong value for $\displaystyle \frac{\sqrt{6}}{2}$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: Oct 10th 2014, 09:02 PM
  2. Replies: 10
    Last Post: Jan 21st 2011, 11:47 AM
  3. Replies: 3
    Last Post: May 29th 2010, 07:29 AM
  4. Replies: 1
    Last Post: Feb 18th 2010, 01:54 AM
  5. Replies: 3
    Last Post: Dec 15th 2009, 06:30 AM

Search tags for this page

Search Tags


/mathhelpforum @mathhelpforum