Which of the following conditions are satisfied by Poisson random variable?
1. Probability of an event in an interval is unpredictable
2. Number of successes in two time intervals is dependent
3. Probability that an event occurs in a given length of time does not change over time
4. Probability that an event occurs in a given length of time changes over time
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Poisson is a discrete probability distribution.
It expresses the probability of a given number of events occurring in a fixed interval of time or space.
These events occur with a known constant rate.
They are independent of the time since the last event.
From the explanations above the correct answer is :
4. Probability that an event occurs in a given length of time changes over time.
It agrees with the third point.
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