POISSON DISTRIBUTION EXCEL - 0.149361205 0.224041808...

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POISSON DISTRIBUTION Characteristics A time interval of size t is observed No two events occur simultaneously P(k events in the interval) does not depend on when the interval occurs The time until the next event is independent of when the last event occurred The average number of events in an interval of size t is λ EXCEL POISSON(k, λ ,FALSE) = P(X=k) in an interval in which the average number of events is λ POISSON(k, λ ,TRUE) = P(X k) in an interval in which the average number of events is λ Examples Example 1 Poisson Probablity for lambda = 3 P(X=4) 0.049787068 0.149361205 0.224041808 0.224041808 0.168031356 0.100818813 0.050409407 0.021604031 0.008101512 0 0.05 0.1 0.15 0.2 0.25 0 1 2 3 4 5 6 7 8 X P(X) P(X=4) =POISSON(4,3,FALSE) .168031
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Example 2 Poisson Probablity for lambda = 3 P(X<=2) 0.049787068
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Unformatted text preview: 0.149361205 0.224041808 0.224041808 0.168031356 0.100818813 0.050409407 0.021604031 0.008101512 0.05 0.1 0.15 0.2 0.25 1 2 3 4 5 6 7 8 X P(X) P(X<=2) =POISSON(2,3,TRUE) .423190 Example 3 Poisson Probablity for lambda = 3 P(X>=5) 0.049787068 0.149361205 0.224041808 0.224041808 0.168031356 0.100818813 0.050409407 0.021604031 0.008101512 0.05 0.1 0.15 0.2 0.25 1 2 3 4 5 6 7 8 X P(X) P(X>=5) =1-POISSON(4,3,TRUE) .184737 Example 4 Poisson Probablity for lambda = 3 P(3<=X<=5) 0.049787068 0.149361205 0.224041808 0.224041808 0.168031356 0.100818813 0.050409407 0.021604031 0.008101512 0.05 0.1 0.15 0.2 0.25 1 2 3 4 5 6 7 8 X P(X) P(3<=X<=5) = POISSON(5,3,TRUE)-POISSON(2,3,TRUE) .492892...
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POISSON DISTRIBUTION EXCEL - 0.149361205 0.224041808...

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