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Math Help - Help with Chebyshev

  1. #1
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    Help with Chebyshev

    I agreed to help my cousin with her statistics, but to tell you the truth, I've never taken it. I went straight from Algebra 2 to Calc and then Calc 2 and so forth. Also, I haven't taken a math course in years. So a lot of this stuff I have either forgotten or never seen before. So please help!

    The problem says:

    A population has a mean of 78 and a standard deviation of 2.8. According to Chebyshev, at least what proportion of this population will lie between 97.6 and 58.4?

    ---


    Also, I had another question. This one said P(A and B-) is 0.6. B- stands for B with a line over it. What does B with a line over it stand for?
    Full Problem says:

    P(A) is 0.8 and P(A and B-) is 0.6. What is P(A and B)? (Hint-try a Venn diagram)
    Last edited by Phil32686; May 16th 2009 at 11:23 PM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Phil32686 View Post

    The problem says:

    A population has a mean of 78 and a standard deviation of 2.8. According to Chebyshev, at least what proportion of this population will lie between 97.6 and 58.4?

    ---
    You can spell Chebyshev, so you can google "Chebyshev inequality probability"

    Also, I had another question. This one said P(A and B-) is 0.6. B- stands for B with a line over it. What does B with a line over it stand for?
    Full Problem says:

    P(A) is 0.8 and P(A and B-) is 0.6. What is P(A and B)? (Hint-try a Venn diagram)
    \overline{B} stands for the complement of B.

    So P(A\ \text{and}\ \overline{B}) is the probability that the event A occurs and event B does not occur (as the hint says draw a Venn diagram)

    CB
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  3. #3
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    Thanks CaptainBlack

    I got 97.96% for the chebyshev question

    And 0.2 for the P(A and B) question.
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by Phil32686 View Post
    Thanks CaptainBlack

    I got 97.96% for the chebyshev question

    And 0.2 for the P(A and B) question.
    They look OK

    CB
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