Answer to Question #329281 in Statistics and Probability for jeremy

Question

In a large population, 58% of the people have been vaccinated. If 5 people are randomly selected, what is the probability that at least one of them has been vaccinated?

Answer 1

This is a binomial distribution with n=5, p=0.58.

$P(X\ge 1)=1-P(X=0)=1-(1-0.58)^{10}=0.9998.$