question archive Suppose a person infected with coronavirus went to a maskless indoor party with 11 other people

Suppose a person infected with coronavirus went to a maskless indoor party with 11 other people

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Suppose a person infected with coronavirus went to a maskless indoor party with 11 other people. Of the 11 people, 4 stood 3 feet apart from them and talked loudly with them for an hour. The other 7 people maintained a distance of at least six feet throughout the entire party. Suppose the infected person has a 40% chance of infecting people who stand within 3 feet and a 10% chance of infecting people who are in the same room but maintain a distance of at least 6 feet. Let I be the number of people the person infects at the party. Find E[I] 

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