Question: It may happen, and it does happen, that a person is hospitalized for another reason (e.g., a heart attack or a car accident), and is

It may happen, and it does happen, that a person is hospitalized for another reason (e.g., a heart attack or a car accident), and is diagnosed at entrance as being infected by the virus. In such a case, infection is detected "indirectly".

A given hospital is reporting 2 indirect infections per day.

b.1) What is the probability that between 9 and 12 (*) indirect infections are observed over 5 days in this hospital? (*) inclusive

b.2) Give the population mean and the population variance of the random variable "number of indirect detections in this hospital during 3 days".

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