SOLUTION: Consider this distribution. Is it a valid probability distribution? Explain why or why not. x 0 1 2 P(x) 0.25 0.60 0.15

Algebra ->  Probability-and-statistics -> SOLUTION: Consider this distribution. Is it a valid probability distribution? Explain why or why not. x 0 1 2 P(x) 0.25 0.60 0.15       Log On


   

Question 1142047: Consider this distribution. Is it a valid probability distribution? Explain why or why not.
x
0
1
2
P(x)
0.25
0.60
0.15
Answer by ikleyn(52754) About Me  (Show Source):
You can put this solution on YOUR website!
.

ANSWER.   Yes,  it is.


Explanation. 

    For the three values of X we are given three values of the (hypothetical) probability distribution.


    These values are all non-negative and their sum is equal to 1:  0.25 + 0.60 + 0.15 = 1.


    They are the necessary and sufficient conditions for the hypothetical probability distribution to be valid.