# Homework Help with stats

• Jan 27th 2007, 05:06 PM
air2slb
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?
• Jan 27th 2007, 09:55 PM
CaptainBlack
Quote:

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

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

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

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