Manuals/calci/poisson

POISSON(x,m,cu)


  • is the number of events.
  • is the mean
  • is the logical value like TRUE or FALSE.

Description

  • This function gives the value of the Poisson distribution.
  • The Poisson distribution is a discrete probability distribution for the counts of events that occur randomly in a given interval of time.
  • It is is used to model the number of events occurring within a given time interval.
  • In  ,   is the number of events in a given interval of time,   is the Average Numeric value and   is the logical value.
  • If it is TRUE, this function will give the Cumulative Poisson Probability with the number of random events between   and  (included).
  • If it is FALSE, this function will give the Poisson Probability Mass function with the number of events occurring will be exactly  .
  • The  probability mass function is:

    where   is the shape parameter and  .   is the base of the natural logarithm (e=2.718282).

  • The Cumulative Poisson Probability function is:

 .

  • This function will return the result as error when
1.  or   is non-numeric.
2.  or  .

Examples

  1. =POISSON(6,2,TRUE) = 0.995466194
  2. =POISSON(6,2,FALSE) = 0.012029803
  3. =POISSON(10.2,7,TRUE) = 0.901479206
  4. =POISSON(10.2,7,FALSE) = 0.070983269
  5. =POISSON(6,0,TRUE) = 1

Related Videos

POISSON

See Also

References

Poisson distribution