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Discrete distributions
Suppose our random variable can take only values
. We insist that
, and
If each is equally likely to occur, then these conditions lead to
a uniform distribution with
. A binomial
distribution expresses how often we expect a particular value to occur
out of events. If = (the probability that our chosen
event occurs once is ), then the probability of exactly occurrences is:
The reasoning is that in a sequence of events there are
choose ways to select exactly event s, and the
probability of each selection is the product of the s with the
product of the s (the probability that doesn't occur).
This is a discrete normal distribution.
Danny Heap
2002-12-16