Difference between revisions of "Manuals/calci/EXPONDIST"
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<div style="font-size:25px">'''EXPONDIST(X,Lambda,Cumulative)'''</div><br/> | <div style="font-size:25px">'''EXPONDIST(X,Lambda,Cumulative)'''</div><br/> | ||
− | *<math>X</math> is the value of the function | + | *<math>X</math> is the value of the function. |
− | *<math>Lambda(\lambda)</math> is the value of the rate parameter | + | *<math>Lambda(\lambda)</math> is the value of the rate parameter. |
− | *<math>Cumulative</math> is the logical value like TRUE or FALSE | + | *<math>Cumulative</math> is the logical value like TRUE or FALSE. |
+ | **EXPONDIST(), returns the exponential distribution. | ||
==Description== | ==Description== |
Latest revision as of 17:04, 10 August 2018
EXPONDIST(X,Lambda,Cumulative)
- is the value of the function.
- is the value of the rate parameter.
- is the logical value like TRUE or FALSE.
- EXPONDIST(), returns the exponential distribution.
Description
- This function gives the Exponential Distribution. This distribution is used to model the time until something happens in the process.
- This describes the time between events in a Poisson process i.e, a process in which events occur continuously and independently at a constant average rate.
- For e.g Time between successive vehicles arrivals at a workshop.
- Exponential distribution is the only continuous memoryless random distribution. It is a continuous analog of the Geometric distribution.
- In , is the value of the function, is called rate parameter and is either TRUE or FALSE.
- This function will give the Cumulative Distribution Function when is TRUE, otherwise it will give the Probability Density Function , when is FALSE.
- Suppose we are not giving the value, by default it will consider the value is FALSE.
- This function will give the error result when
1. or is non-numeric. 2. or
The Probability Density Function of an Exponential Distribution is: or
- where is the rate parameter and is the Heaviside step function
- This function is valid only on the interval [0,infinity].
The Cumulative Distribution Function is : or
ZOS
- The syntax is to calculate EXPONDIST in ZOS is .
- where is the value of the function
- is the value of the rate parameter
- is the logical value like TRUE or FALSE.
- For e.g.,EXPONDIST(11..12,2.3..3.3..0.4,FALSE)
Examples
Question : If jobs arrive at an average of 15 seconds, per minute, what is the probability of waiting 30 seconds, i.e 0.5 min? Here and
- =EXPONDIST(0.5,5,TRUE) = 0.917915001
- =EXPONDIST(5,3,TRUE) = 0.999999694
- =EXPONDIST(0.4,2,FALSE) = 0.898657928
Related Videos
See Also
References