Difference between revisions of "Manuals/calci/BINOMIALDISTRIBUTED"

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<div style="font-size:30px">'''BINOMIALDISTRIBUTED (Numbers,Probability)'''</div><br/>
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<div style="font-size:30px">'''BINOMIALDISTRIBUTED (Numbers,Probability,Trials)'''</div><br/>
 
*<math>Numbers</math> is the number of variables.
 
*<math>Numbers</math> is the number of variables.
 
*<math>Probability</math> is the value from 0 to 1.
 
*<math>Probability</math> is the value from 0 to 1.
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*<math>Trials</math> is the any positive real number.
  
 
==Description==
 
==Description==
 
*This function gives the value of the Binomial distribution.  
 
*This function gives the value of the Binomial distribution.  
*In <math>BINOMIALDISTRIBUTED (Numbers,Probability)</math>, <math>Numbers</math> is the number of the variables and <math>Probability</math> is the probability value which varies from 0 to 1.  
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*In <math>BINOMIALDISTRIBUTED (Numbers,Probability,Trials)</math>, <math>Numbers</math> is the number of the variables and <math>Probability</math> is the probability value which varies from 0 to 1.<math> Trial </math> is any positive real number.  
 
*This gives  the discrete probability distribution.
 
*This gives  the discrete probability distribution.
 
*The probability of getting exactly  k  successes in  n  trials is given by the Probability Mass Function:
 
*The probability of getting exactly  k  successes in  n  trials is given by the Probability Mass Function:
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==Examples==
 
==Examples==
#BINOMIALDISTRIBUTED(10,0.4) = 36 42 45 41 41 38 37 36 32 41
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# BINOMIALDISTRIBUTED(10,0.4) = 36 42 45 41 41 38 37 36 32 41
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# BINOMIALDISTRIBUTED(5,0.3,76) = 23 29 20 19 23
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==See Also==
 
==See Also==

Revision as of 16:39, 12 June 2018

BINOMIALDISTRIBUTED (Numbers,Probability,Trials)


  • is the number of variables.
  • is the value from 0 to 1.
  • is the any positive real number.

Description

  • This function gives the value of the Binomial distribution.
  • In , is the number of the variables and is the probability value which varies from 0 to 1. is any positive real number.
  • This gives the discrete probability distribution.
  • The probability of getting exactly k successes in n trials is given by the Probability Mass Function:

for k=0,1,2,3...n where is the COMBIN(n,k) i.e.

  • The Cumulative Binomial Distribution is:.

Examples

  1. BINOMIALDISTRIBUTED(10,0.4) = 36 42 45 41 41 38 37 36 32 41
  2. BINOMIALDISTRIBUTED(5,0.3,76) = 23 29 20 19 23


See Also

References

Binomial Distribution