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Math Help - Discrete random variable distribution of X

  1. #1
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    Discrete random variable distribution of X

    A spinner is made from the disc is the diagram and the random variable X represents the number it lands on after being spun.





    Write down the distribution of X.


    How could I do this? Basically Im confused where to start & what to think. Could anyone explain please?
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  2. #2
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    This problem represents a simple idea.
    Just find out what percent of the total area each of the sectors represents.
    For example, sector 2 is one fourth of the total area.
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  3. #3
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    Quote Originally Posted by Plato View Post
    This problem represents a simple idea.
    Just find out what percent of the total area each of the sectors represents.
    For example, sector 2 is one fourth of the total area.
    So remaining area is 1-1/4 = 3/4.
    So sector 1 is 3/4 divided by 2 = 3/8.

    Is it like that?
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    Quote Originally Posted by geton View Post
    So remaining area is 1-1/4 = 3/4.
    So sector 1 is 3/4 divided by 2 = 3/8.
    No! Look at the size of the central angles.
    Sector 1 is \frac {125}{360} of the total. Sector 3 is \frac {145}{360} of the total.
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  5. #5
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    Well my book's answer says for sector 1, 3/8 and sector 3, 3/8. How this 3/8 come?
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    Quote Originally Posted by geton View Post
    Well my book's answer says for sector 1, 3/8 and sector 3, 3/8. How this 3/8 come?
    Well inorder for those answers to be correct the second number in the diagram would have to be 225^o not 215^o.
    So the diagram in incorrect.
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  7. #7
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    Quote Originally Posted by Plato View Post
    Well inorder for those answers to be correct the second number in the diagram would have to be 225^o not 215^o.
    So the diagram in incorrect.
    It's not my fault. I think it's a printing mistake of my book. Anyways, thank you so much.
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