What is the probability that at least three members

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The (newly discovered) coronavirus is very dangerous in that the victim of the virus will party throughout the night, resulting in dehydration and possibly death. If a person is quarantined, he/she has a 0.5 chance of having the virus. If a person has the virus, he/she has a 0.8 chance of infecting another person who lives in close quarters. Lucy lives with her father, her mother, her brother and her younger sister only. Recently, Lucy's brother has been quarantined (in her house). What is the probability that at least three members out of Lucy's family will be infected with the virus at the end of the day?

Reference no: EM132850830

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