1. Applications of the Poisson Distribution
Let’s consider a random variable N that represents the number of events that occur (in space or time). N has a Poisson distribution if…
Events occur at a constant rate m.
There are no multiple hits (events occurring at exactly the same point in time or space).
Events occur independently.

2. The average number of trucks arriving at a truck depot is 5 per day
The average number of trucks arriving at a truck depot is 5 per day. What is the probability that fewer than 3 trucks arrive on a given day?

3. m specimens of a rare species of butterfly are found by an avid collector each year. The collector is most interested in the female of the species, but only a fraction p of the specimens collected are female.
What is the probability that i females are collected in a year, (for i = 0, 1, 2)?
What is the probability distribution of the number of females collected in a year?

4. Seeds fall independently in a field at a rate of 0
Seeds fall independently in a field at a rate of seeds per square centimeter. What is the probability that between 20 and 26 seeds fall in a particular square meter?