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It has been determined that the chance of becoming infected by a disease after contact with...

It has been determined that the chance of becoming infected by a disease after contact with a particular parasite is 12%. If 60 individuals were in contact with the parasite: (a) What is the chance that no-one got infected? (b) What is the chance that at most 8 people got infected? (c) What is the chance more than 4 people got infected? (d) How many people got infected if the calculated probability of this event was 2.7% (rounded)?

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