probability models: find colorblind man before 10th in line

xc630

Junior Member
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Sep 1, 2005
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Hi I would appreciate some help with the following problem:

About 8 percent of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects. On average how many men should the researcher expect to check to find one who is colorblind? Whats the probability that she won't find anyone colorblind among the first four men she checks? What's the probability that the 1st colorblind man found will be the 6th person checked? What's the probability that she finds someone who is colorblind before checking the 10th man.

For the 1st question I did Expected value = q/p = 1/.08= 12.5
For the 2nd question I did (.92)^4=0.716
For the 3rd question (0.92)^5 (0.08)= 0.0527.
I don't know where to start for the last question though. Thanks in advance for any help!
 
Re: prob models

xc630 said:
About 8 percent of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects. What's the probability that she finds someone who is colorblind before checking the 10th man.
What's the probability that she will not find someone who is colorblind before checking the 10th man?
Is that \(\displaystyle (.92)^9\)?
The what does \(\displaystyle 1-(.92)^9\) stand for?
 
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