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Math Help - Binomial Distribution

  1. #1
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    Binomial Distribution

    It has been found that 65% of women over 50 years old suffers from osteoporosis. 8 women were randomly chosen from a group of women over 50 years old.

    (a)Find the probability that out of these 8 women, more than 6 of them suffered from osteoporosis. Ans:0.1691

    20% of women suffering from osteoporosis recovers after 2 years. If 3 women of age above 50 years old were randomly chosen,

    (b)find the probability that none of them suffer from osteoporosis. Ans:0.1106

    I managed to solve (a) only. How do you solve (b)?
    Thanks for your help.
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  2. #2
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    Quote Originally Posted by cyt91 View Post
    It has been found that 65% of women over 50 years old suffers from osteoporosis. 8 women were randomly chosen from a group of women over 50 years old.

    (a)Find the probability that out of these 8 women, more than 6 of them suffered from osteoporosis. Ans:0.1691

    20% of women suffering from osteoporosis recovers after 2 years. If 3 women of age above 50 years old were randomly chosen,

    (b)find the probability that none of them suffer from osteoporosis. Ans:0.1106

    I managed to solve (a) only. How do you solve (b)?
    Thanks for your help.
    The wording of the question leaves a lot to be desired. Is this exactly how the questin is written? Because as written, the answer to (b) is (0.35)^3, not 0.1106.
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  3. #3
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    Yup. That's the exact wording wording of the question. Can we consider that the patients who suffered from osteoporosis but recovered as "patients who don't suffer from the disease" as well (in addition to people in the sample who are not afflicted with the disease at all)?
    If so,how do we solve this problem?
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