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# 09_15 - STAT 400 Fall 2011 Examples for Poisson...

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STAT 400 Examples for 09/15/2011 Fall 2011 Poisson Distribution: X = the number of occurrences of a particular event in an interval of time or space. P( X = x ) = ! λ λ x x e - , x = 0, 1, 2, 3, … . E( X ) = λ , Var( X ) = λ . Table III ( pp. 580 – 582 ) gives P( X x ) EXCEL: = POISSON( x , λ , 0 ) gives P( X = x ) = POISSON( x , λ , 1 ) gives P( X x ) 1. Traffic accidents at a particular intersection follow Poisson distribution with an average rate of 1.4 per week. a) What is the probability that the next week is accident-free? b) What is the probability that there will be exactly 3 accidents next week? c) What is the probability that there will be at most 2 accidents next week?

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d) What is the probability that there will be at least 2 accidents during the next two weeks? e) What is the probability that there will be exactly 5 accidents during the next four weeks? f) What is the probability that there will be 2 accidents tomorrow? g) What is the probability that the next accident will not occur for three days?
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09_15 - STAT 400 Fall 2011 Examples for Poisson...

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