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Math Help - Is this situation independent?

  1. #1
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    Is this situation independent?

    Suppose that in the human population gene A occurs in 25% of people, gene B occurs in 44% of people, and genes A and B occur together in 11% of people. Are genes A and B independent? Mathematically justify your answer.

    Please help me with this problem. The question wants you to decide whether or not the situation is independent by proving:


    I understand that P(A) = 25 and P(B) = 44 but I do not know how to get the . Thanks in advance.
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  2. #2
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    Quote Originally Posted by krzyrice View Post
    Suppose that in the human population gene A occurs in 25% of people, gene B occurs in 44% of people, and genes A and B occur together in 11% of people. Are genes A and B independent? Mathematically justify your answer.

    Please help me with this problem. The question wants you to decide whether or not the situation is independent by proving:


    I understand that P(A) = 25 and P(B) = 44 but I do not know how to get the . Thanks in advance.
    Given data: \Pr(A) = 0.25, ~ \Pr(B) = 0.44, ~ \Pr(A \cap B) = 0.11.

    Does \Pr(A \cap B) = \Pr(A) \cdot \Pr(B) ?
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    You would have to show proof of that they equal each other or not. I do not know how to find . Please show me how to find that.
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    Quote Originally Posted by krzyrice View Post
    You would have to show proof of that they equal each other or not. I do not know how to find . Please show me how to find that.
    I already told you that you are given that \Pr(A \cap B) = 0.11:

    Quote Originally Posted by krzyrice View Post
    [snip]
    A and B occur together in 11% of people
    [snip]
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