Results 1 to 6 of 6

Math Help - Independent probability?

  1. #1
    Junior Member
    Joined
    Jun 2008
    Posts
    29

    Independent probability?

    52% of students registered at College A for Fall 2006 Qtr intended to transfer.
    34% of students registered at College B for Fall 2006 Qtr intended to transfer.
    45% of students registered at AB District for Fall 2006 Qtr intended to transfer.

    Are the events "attends College A" and "intends to transfer" independent? Show numerical justification.
    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 Myung View Post
    52% of students registered at College A for Fall 2006 Qtr intended to transfer.
    34% of students registered at College B for Fall 2006 Qtr intended to transfer.
    45% of students registered at AB District for Fall 2006 Qtr intended to transfer.

    Are the events "attends College A" and "intends to transfer" independent? Show numerical justification.
    More information is needed. Please post the entire question, exactly as it's written wherever you got it from.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jun 2008
    Posts
    29
    That is the whole question, in my book.
    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 Myung View Post
    That is the whole question, in my book.
    Quite right. My mistake.

    You have:

    Pr(intend to transfer | College A) = 0.52.

    Pr(intend to transfer | College B) = 0.34.

    Pr(intend to transfer | District AB) = 0.45.

    Clearly the probability of transfer is conditional on location. So the events "attends College A" and "intends to transfer" are NOT independent.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Jun 2008
    Posts
    29
    Isn't that just inferencing or does that count as numerical justification? I agree that the problem is poorly worded, my book is made by some of the teachers at my college so it is not exactly professionally done.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Myung View Post
    Isn't that just inferencing or does that count as numerical justification? I agree that the problem is poorly worded, my book is made by some of the teachers at my college so it is not exactly professionally done.
    Why not just say the following:

    There's not a snowball's chance in a really hot place that the events "attends College A" and "intends to transfer" are independent. This is because Pr(intend to transfer) depends on location:

    Pr(intend to transfer | College A) (= 0.52) \neq Pr(intend to transfer | College B) (= 0.34) \neq Pr(intend to transfer | District AB) (= 0.45).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Probability: independent or not?
    Posted in the Statistics Forum
    Replies: 2
    Last Post: November 22nd 2011, 04:29 AM
  2. proof of independent probability
    Posted in the Statistics Forum
    Replies: 4
    Last Post: April 6th 2010, 11:32 PM
  3. Probability of Independent event
    Posted in the Statistics Forum
    Replies: 9
    Last Post: December 11th 2009, 02:17 PM
  4. probability independent distribution
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: November 18th 2008, 12:22 AM
  5. Independent probability
    Posted in the Statistics Forum
    Replies: 4
    Last Post: August 8th 2006, 08:45 PM

Search Tags


/mathhelpforum @mathhelpforum