In: Statistics and Probability
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.