In a large population, 63 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal (to at least 3 places) or fraction
In a large population, 63 % of the people have been vaccinated. If 3 people are randomly selected, what is the
Give your answer as a decimal (to at least 3 places) or fraction
Introduction:
Denote X as the random variable of interest here, which is the number of people who have been vaccinated.
Consider it to be a success if a sampled person has been vaccinated. It maybe considered that the sampled people are vaccinated independently of each other, as the population is large, and the sample size of 3 people is very small in comparison.
As 63% of the population have been vaccinated, the probability of “success” or probability of a person being vaccinated is p = 63% = 0.63.
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