Suppose you have the social network like in the following picture. The circles are people and the edges are interactions between people. Suppose the person in the centre gets a virus. In each interaction, there is a 4/5 probability of passing on the virus. a. What's the probability that only 1 person has the virus? b. What's the probability that only 2 people get the virus? c. What's the probability that only 3 people get the virus?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose you have the social network like in the following picture. The circles are people
and the edges are interactions between people. Suppose the person in the centre gets a
virus. In each interaction, there is a 4/5 probability of passing on the virus.
a. What's the probability that only 1 person has the virus?
b. What's the probability that only 2 people get the virus?
c. What's the probability that only 3 people get the virus?
Transcribed Image Text:Suppose you have the social network like in the following picture. The circles are people and the edges are interactions between people. Suppose the person in the centre gets a virus. In each interaction, there is a 4/5 probability of passing on the virus. a. What's the probability that only 1 person has the virus? b. What's the probability that only 2 people get the virus? c. What's the probability that only 3 people get the virus?
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