Results 1 to 3 of 3

Math Help - Application of Venn Diagrams

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    5

    Application of Venn Diagrams

    Hello, all. So, I've been sitting here for at least an hour attempting to figure this out, but no dice.

    A recent transportation survey of w urban commuters (that is, n(U)=w) yielded the following information:

    X rode neither trains nor buses

    Y rode trains
    Z rode only trains

    How many people rode (a) trains and buses, (b) only buses, (c) buses, and (d) trains or buses?

    Basically what I got to was:




    I really have no idea where X would go. Not sure if I would add it to W for some reason or if I would just exclude it. I also figured that Y could go within the intersection, but I was not exactly sure of this. Either way, this is as far as I've gone and it doesn't look like I am able to get much further.

    Any input would be greatly appreciated.

    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,639
    Thanks
    1592
    Awards
    1
    Look at the diagram.
    x=a, y=b+c, z=b, w=a+b+c+d.

    Answers.
    (a) c
    (b) d
    (c) c+d
    (d) b+c+d
    Attached Thumbnails Attached Thumbnails Application of Venn Diagrams-tb.gif  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2008
    Posts
    5
    Thank you. Makes sense. Also, I have another that I think I did correctly, but would like someone to check it, if that isn't too much trouble.

    In a recent health insurance survey, employees at a large corporation were asked, "Have you ever been a patient in a hospital during the past year, and if so, for what reason?" The following results were obtained:

    494 had an injury
    774 had an illness
    1254 has tests
    238 had and injury and an illness and tests
    700 had an illness and tests
    501 had tests and no injury or illness
    956 had an injury or illness
    1543 had not been a patient

    (a) What percent of the employees had been a patient in the hospital?
    (b) What percent of the employees had tests in the hospital?

    And here's what I got:


    A {They had an injury}
    B {They had an illness}
    C {They had tests}

    n(U) = 3000

    (a) ~48.7% had been a patient
    (b) 41.8% had tests performed

    So?

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Venn Diagrams
    Posted in the Geometry Forum
    Replies: 2
    Last Post: October 4th 2011, 09:12 AM
  2. Venn diagrams
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: May 8th 2011, 03:01 AM
  3. Venn Diagrams
    Posted in the Statistics Forum
    Replies: 2
    Last Post: December 12th 2010, 01:14 PM
  4. Venn Diagrams
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 23rd 2010, 07:35 AM
  5. Venn Diagrams
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: June 24th 2008, 10:09 AM

Search Tags


/mathhelpforum @mathhelpforum