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Math Help - Probability from sample

  1. #1
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    Probability from sample

    I have this problem I cant seem to figure out how to come to the solution :/

    I would really appreciate any help!

    "Assuming sixty percent of cats are black. From a sample of seven, what is the probability of two being black?"

    The answer is 0.08

    Thanks
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  2. #2
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    Re: Probability from sample

    This is a binomial distribution, with sample size n = 7, probability of black cat = 0.6. We want the probability that the number of black cats (x) is 2. Therefore

    P(x=2) = {{7}\choose{2}} (.6)^2 (.4)^5 \approx 0.07741; round to 0.08.
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  3. #3
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    Re: Probability from sample

    with sample size n = 7, probability of black cat = 0.6. We want the probability that the number of black cats (x) is 2. Therefore

    P(x=2) = {{7}\choose{2}} (.6)^2 (.4)^5 \approx 0.07741; round to 0.08.


    is it true....?
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