Midwestern Skies books ten commuter flights each week. Passenger totals are much the same from week to week, as are the numbers of pieces of luggage that are checked. Listed in the following table are the numbers of bags that were lost during each of the first forty weeks in 2009. Do these figures support the presumption that the number of bags lost by Midwestern during a typical week is a Poisson random variable?

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12001312014210 27 28 29 30 31 32 33 34 35 36 37 38 39 40 22233333333334 2130252111213 14 15 16 17 18 19 21 22 23 24 25 26 | 1 0 0 3 4 1 0 2 0 2 3 1 2 1234567890123