Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

In a large population, 60 % 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?

Sagot :

Answer:    0.98976

===========================================================

Explanation:

60% of the people have been vaccinated, so 40% have not.

The probability of getting five people in a row that aren't vaccinated is (0.40)^5 = 0.01024

Subtract this from 1 to get the probability of at least one vaccinated person in the sample of five.

1-0.01024 = 0.98976

This works because the events "at least one vaccinated" and "none vaccinated" are complementary. One or the other must happen, which means the two probabilities add to 1.