## Related questions with answers

About 8% of males are colorblind. A researcher needs some colorblind subjects for an experiment and begins checking potential subjects. a) On average, how many men should the researcher expect to check to find one who is colorblind? b) What’s the probability that she won’t find anyone colorblind among the first 4 men she checks? c) What’s the probability that the first colorblind man found will be the sixth person checked? d) What’s the probability that she finds someone who is colorblind before checking the 10th man?

Solution

Verified**(a)**

For the number of men that the researcher expect to check to find one who is colorblind:

$\begin{aligned} E(X) &= \mu = \dfrac{1}{p} \\ &= \dfrac{1}{8\%} \\ &= \dfrac{1}{0.08} \\ &= \boxed{12.5 \approx 13} \end{aligned}$

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