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In: Statistics and Probability

Probability of getting COVID-19 virus in a community is 0.03. If a sample of three persons...

Probability of getting COVID-19 virus in a community is 0.03. If a sample of three persons are sequentially taken at random and person to person infection is independent then:[ denoting Y= getting virus and N= not getting]
(a) Make the sample space.



(b) Find the probability distribution of the number of persons getting virus.


(c) Find the probability that at-least one person will get infected by the virus.


(d) Find mean and variance of the number of persons getting virus.

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