•
λ is a positive real number, equal to the expected number of occurrences that occur during the given interval. For instance, if the events occur on average
4 times per minute, and you are interested in the number of events occurring in a 10 minute interval, you would use as your model a Poisson distribution
with λ = 10×4 = 40.
Random Experiment:
Ex. Flip a coin, Roll a dice and observe number, Randomly draw a card from a deck and note its suit,
Randomly select a resistor and measure its resistance, etc.
.
Events:
The random experiment’s outcomes. Ex. during a qualitycontrol inspection, the usual events of interest for tested items are “good” and “defective”.
Elementary Events:
All the possible results of the random experiment. Ex. For a coin flip it would be heads and tails.
Sample Space:
The set or collection of all the elementary events. Ex. For a coin flip it would be {heads, tails}.
LongRun Frequency Def. of Probability:
Probability of an event after many repeated random experiments. Ex. A coin flip, Pr[heads] = .50
EquallyLikely Def. of Probability:
=
Prheads
Size of event setSize of sample space
Impossible Event:
An outcome that has zero probability.
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 Spring '08
 Nail
 Probability, Probability theory, #, 10 minute, Complementary Law

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