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Members of a large collaboration that operated a giant proton-decay detector in a salt mine near Cleveland Ohio, detected a burst of 8 neutrinos in their apparatus coincident with the opitcal observation of explosion of Supernova 1987A.

(a) If the average number of neutrinos detected in apparatus is 2 days, what is the probability of detecting a fluctuation of 8 more a day?

(b) In fact, the 8 neutrinos were all detected within a 10 min period. What is the probability of detecting a fluctuation of 8 more neutrinos in a 10 min period if the average rate is 2 per 24 hours?

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