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?
