Poisson Distribution.

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Presentation transcript:

Poisson Distribution

Consider the following: X= no. of flaws in a length of material X= no. of lightening strikes in a particular area within a specified time.

We use the Poisson because: Events occur independently of each other. Events occur singly. Events occur at a constant rate over a time interval. Events tend to be random or rare. Mean should be around the same as the poisson.

How do we calculate Poisson probabilities? The Poisson dist is applied using a parameter,λ, lambda. This is the mean number of occurrences of an event over a time interval. X~Po(λ)

Examples Using X~Po(λ=3), find P(X=0) P(X=4) P(X≤4) P(X>7)

Ex 1A page 7