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A total of 8 neutrinos, presumably from Supernova 1987A, as observed in an underground detector located...

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Statistics

A total of 8 neutrinos, presumably from Supernova 1987A, asobserved in an underground detector located in a salt mine nearCleveland.

(a) If the average number of \"background\" neutrinos observed perday is know to be 2, calculate the probability that 8 or more suchbackground events will be detected in one day.

(b) If the average number of \"background\" neutrinos observed perday is know to be 2, calculate the probability that 8 or more suchbackground events will be detected in a 10-minute period.

(c) Based on your answers to parts (a) and (b): Should theexperimenters (call them Team A) who observe 8 or more eventsdistributed over a one-day period publish their results as a\"discovery,\" or simply attribute these \"events\" to a fluctuation inthe background rate? If Team B observes 8 or more events within a10-minute period, is this an important discovery, or likelystatistical fluctuation?

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