SOLUTION: <pre> 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

Algebra ->  Probability-and-statistics -> SOLUTION: <pre> 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      Log On


   



Question 402732:

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) About Me  (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(20054) About Me  (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