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Math Help - Homework Help with stats

  1. #1
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    Smile Homework Help with stats

    Can someone please show me step by step how to work this problem. I can never get the answer they are looking for. thank you!!!!


    Nine percent of men cannot distinguish between the colors red and green. exaclty 1 man of a randomly selected sample of 6 men will be able to distinguish between the colors red and green. what is the request probability?
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  2. #2
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    Quote Originally Posted by air2slb View Post
    Can someone please show me step by step how to work this problem. I can never get the answer they are looking for. thank you!!!!


    Nine percent of men cannot distinguish between the colors red and green. exaclty 1 man of a randomly selected sample of 6 men will be able to distinguish between the colors red and green. what is the request probability?
    Let's assume that you are asking for the probability of exactly one of a sample of six men being red-green colour blind.

    The number k with red-green colour blindness in a sample of n, where the probability of an individual being colour blind is p, has a binomial distribution, with probability:

    <br />
f(k;n,p)={n \choose k} p^k \,(1-p)^{n-k}<br />

    Here you want k=1, n=6 and p=0.09, so:

    <br />
f(1;6,0.09)={6 \choose 1} 0.09^1 \,(1-0.09)^5\approx 0.337<br />

    or about 33.7 \%

    RonL
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