The following is not a discrete probability distribution because 



 x          -5      -4         -3       -2     -1   

p(x)        0.20   0.20      0.23     0.54    0.29 

Found 2 solutions by  stanbon, Edwin McCravy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
 The probabilities add up to more than 1.

Cheers,

Stan H. 

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
 
Because 0.20 + 0.20 + 0.23 + 0.54 + 0.29 = 1.46

and to be a discrete probability distribution function all the
probabilities must be positive, less than 1 and their sum must
be 1.  Their sume here is 1.46, not 1.  That is why it is not a
discrete probability distribution function.

[Note: it is NOT because the x-values are negative.  x-values can
be any numbers, positive negative or zero.]

Edwin



  

 

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