Poisson Distribution

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Poisson distributin

POISSON DISTRIBUTION

No. of events that occur random in an interval (of time or space)

 

X ~Po ( l)

 

Events occur independently

“ “ singly Mean = E(X) = m= l

“ “ at a constant rate Variance = Var(X) = s2 = l

 

Probability of r

P( X = r ) = e-ll or use tables

r!

 

Approximation

Normal approx Þpoisson X ~Po ( l) ÞX ~N (l, l)

 

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