## Related questions with answers

Question

About 8% 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?

Solution

VerifiedStep 1

1 of 2Given:

$p=8\%=0.08$

The distribution of a variable that measures the number of trials until the first success is a Geometric distribution.

The expected value of a geometric random variable is the reciprocal of $p$.

$E(X)=\dfrac{1}{p}=\dfrac{1}{0.08}=12.5$

Thus on average 12.5 men should be checked to find one who is colorblind.

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