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This is a discrete distribution. Poisson is French for fish… It was named due to one of its uses. For example, if a fish tank had 260L of water and 13.

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Presentation on theme: "This is a discrete distribution. Poisson is French for fish… It was named due to one of its uses. For example, if a fish tank had 260L of water and 13."— Presentation transcript:

1 This is a discrete distribution

2 Poisson is French for fish… It was named due to one of its uses. For example, if a fish tank had 260L of water and 13 fish, then on average there are 0.05 fish per litre of water. What is the probability that in a random 10L sample there were 2 fish?

3 There is only one – Lambda Is the rate of occurrance for an event

4  Events cannot occur simultaneously.  Occurrences are independent of each other.  Events occur at random (unpredictable).  For a small interval, the probability of an event occurring is proportional to the size of the interval.

5

6 A fish tank had 260L of water and 13 fish, then on average there are 0.05 fish per litre of water. What is the probability that in a random 10L sample there were: a) 2 fish b) Less than 4 fish c) At least 1 fish

7 In another fish tank that was 400L in size, it was equally likely to have a random 10L sample with no fish as it was to find a 10L sample with at least one fish. How many fish are in the 400L tank?


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