Which of the following correctly describes a Poisson random variable?
a. it does not generate a binomial either/or outcome because only a single type of outcome or "event" is occurring during the Poisson process |
b. it is not confined to a fixed number of trials, because its value can equal any discrete integer between zero and infinity, along a continuum of time or space |
c. it equals the number of occurrences of a specified event within a specified time or space |
d. all of these |
e. none of these |
Solution :
The correctly describes a Poisson random variable is :
It does not generate a binomial either/or outcome because only a single type of outcome or "event" is occurring during the Poisson process
It is not confined to a fixed number of trials, because its value can equal any discrete integer between zero and infinity, along a continuum of time or space
It equals the number of occurrences of a specified event within a specified time or space
Correct option is d) all of these
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