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Poisson distribution
NUMBER of events
Exponential distribution
TIME or DISTANCE Between
Poisson random variable
Discrete
Exponential random variable
Continuous
Poisson units
we MUST make the parameter match the interval given
Exponential units
EITHER convert units for the given parameter to match the units in the question asked, OR we can convert the units of the question to match the units of the given parameter
Poisson process
where events occur randomly within a specified interval
intervals can be
time
area
volume
length
etc.
Poisson process criteria
Two events cannot occur at the same point (in time or space).
The average rate, which equals the number of events per interval, is constant.
Events are independent of each other.