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A detector located underground in a salt mine near Cleveland detected a burst of eight neutrinos within a particular 10-minute interval, at the same time as the optical observation of Supernova 1987A. Answer the following questions:

(a) In the absence of a cosmic event such as a supernova, the detector would normally observe and average of two neutrino interactions per day. In this case, what is the probability of observing eight or more neutrinos in one day?

(b) With this same detector and in the absence of a cosmic event, what is the probability of observing, by chance, eight or more neutrino interactions in a particular 10-minute time interval?

(c) Was their actual observation of eight neutrinos in this short 10-minute time period "statistically significant"? Explain.