The following discrete probability distributions is E) It is undefined because this is not a valid probability distribution.
The given question is asking about discrete probability distributions. In order for a set of values to represent a valid probability distribution, the probabilities must meet certain criteria. Let's go through each option:
A) 1/3: This can potentially be a valid probability distribution if it satisfies the conditions for discrete probability distributions. However, since no specific values or probabilities are given, we cannot determine if it is a valid distribution.
B) 0.92: This is not a valid probability distribution because the probabilities must be between 0 and 1 (inclusive). The value 0.92 exceeds this range.
C) 3: This is not a valid probability distribution because the probabilities must be between 0 and 1 (inclusive). The value 3 exceeds this range.
D) 2.75: This is not a valid probability distribution because the probabilities must be between 0 and 1 (inclusive). The value 2.75 exceeds this range.
E) It is undefined because this is not a valid probability distribution: This is the correct answer.