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

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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)   (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.


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