SOLUTION: Question: Decide whether the distribution is a probability distribution. If it is not a probability distribution, identify the property that is not satisfied. x P(x) 1 0.038

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Question 282029: Question:
Decide whether the distribution is a probability distribution. If it is not a probability distribution, identify the property that is not satisfied.

x P(x)
1 0.038
2 0.200
3 0.445
4 0.294
Answer:
NO
All probabilities are greater than or equal to 0 and less than or equal to 1 but
The sum of all probabilities is not 1

Answer by Mathematicians(84) (Show Source):
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It looks like you have the answer. You first have to check to make sure all x values are greater than or equal to 0. Which that satisfies. The only other condition is that the summation of all p(x) is equal to 1. You will see that summation of P(x) does not equal to 1 therefore it is not a probability distribution.