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  1. #1
    Member princess_anna57's Avatar
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    Post statistics

    A leading cosmetics manufacturer advertises its product in three magazines: Magazine X, Magazine Y and Magazine Z. A survey of 500 customers by the manufacturer reveals the following information on the number of people learning of the product from each of the magazines:

    Magazine X: 180
    Magazine Y: 200
    Magazine Z: 192

    Some of these people came to know about the product from two or more magazines. The numbers by this classification are

    Magazine X and Magazine Y: 84.
    Magazine X and Magazine Z: 52
    Magazine Y and Magazine Z: 64.
    All three: 38.

    a) Show these numbers in a Venn diagram.
    b) How many of the customers saw the advertisement in:
    (i) at least one magazine?
    (ii) exactly one magazine?
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  2. #2
    Senior Member tukeywilliams's Avatar
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    For b(i) all 500 people saw the advertisement in at least one magazine.

    b(ii) You have to subtract out the 'and' numbers to get the numbers for X,Y,Z. Then add all of these up.

    So magazine X: 180-84-52 - 38 = 6

    magazine Y = 200-84-64 - 38 = 14

    magazine Z = 192-52-64 - 38 = 38

    6+14+38 = 58 from exactly 1 magazine
    Attached Thumbnails Attached Thumbnails statistics-untitled.jpg  
    Last edited by tukeywilliams; July 29th 2007 at 05:11 PM.
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  3. #3
    Member princess_anna57's Avatar
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    ohh okay!

    "magazine Y = 200-84-64 - 38 = 26"

    should be:

    magazine Y = 200-84-64 - 38 = 14


    ----

    "44 + 64 + 76 = 184 - 38(3) = 70 from exactly 1 magazine"

    can you please explain to me how you got that?
    Last edited by princess_anna57; July 29th 2007 at 05:10 PM.
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  4. #4
    Senior Member tukeywilliams's Avatar
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    Its actually 58. I had forgotten to subtract off the 38 and tried to correct it in the final result.
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  5. #5
    Member princess_anna57's Avatar
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    Aww, you drew me a diagram! Thank you so much!
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