## Related questions with answers

Question

Of the volunteers donating blood in a clinic, 80% have the Rhesus (Rh) factor present in their blood. What is the smallest number of volunteers who must be selected if we want to be at least 90% certain that we obtain at least five donors with the Rh factor?

Solution

VerifiedStep 1

1 of 3Given:

$k=5$

$p=80\%=0.80$

Definition binomial probability:

$P(X=k)=\dfrac{n!}{k!(n-k)!}p^kq^{n-k}=\dfrac{n!}{k!(n-k)!}p^k(1-p)^{n-k}$

Add the corresponding probabilities:

$P(X\geq 5)=P(X=5)+...+P(X=n)$

Evaluate for a few $n$ values:

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