# Thread: Homework Help with stats

1. ## 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?

2. Originally Posted by air2slb
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:

$
f(k;n,p)={n \choose k} p^k \,(1-p)^{n-k}
$

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

$
f(1;6,0.09)={6 \choose 1} 0.09^1 \,(1-0.09)^5\approx 0.337
$

or about $33.7 \%$

RonL