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Math Help - Bernoulli probability

  1. #1
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    Cool Bernoulli probability

    Not sure if I am right. Help greatly appreciated

    A study carried out nationwide suggested that 15% of Irish men are diabetic. A random
    sample of 10 men is selected from the population and each is tested for diabetes. Calculate
    the probability that:
    (i) exactly 5 are diabetic.
    (ii) At least two and at most three are diabetic.

    For i. 10 choose 5 ((.15)^5)(.85^5)

    For ii. I added the probabilities of of two and 3 together
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  2. #2
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    Re: Bernoulli probability

    Quote Originally Posted by MathJack View Post
    A study carried out nationwide suggested that 15% of Irish men are diabetic. A random sample of 10 men is selected from the population and each is tested for diabetes. Calculate
    the probability that:
    (i) exactly 5 are diabetic.
    (ii) At least two and at most three are diabetic.

    For i. 10 choose 5 ((.15)^5)(.85^5)

    For ii. I added the probabilities of of two and 3 together.
    Those are correct.
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