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Question

Only 4% of people have Type AB blood. a) On average, how many donors must be checked to find someone with Type AB blood? b) What’s the probability that there is a Type AB donor among the first 5 people checked? c) What’s the probability that the first Type AB donor will be found among the first 6 people? d) What’s the probability that we won’t find a Type AB donor before the 10th person?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 5**(a)**
For the number of donors that must be checked before finding someone with Type AB;

$\begin{aligned} E(X) &= \mu = \dfrac{1}{p} \\ &= \dfrac{1}{4\%} \\ &= \dfrac{1}{0.04} \\ &= \boxed{25} \end{aligned}$

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