Determine whether the table gives the probability distribution of the random variable X. Explain your answer. x −1 0 1 2 3 P(X = x) 0.3 0.1 0.2 0.2 0.2 A. Yes, because the probabilities are all between 0 and 1, inclusive, and the values are all unique. B. Yes, because the sum of the probabilities is equal to 1 and the values are all unique.     C. Yes, because the probabilities are all between 0 and 1, inclusive, and their sum is equal to D. No, because the sum of the probabilities is not less than 1. E. There is not enough information to tell.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Determine whether the table gives the probability distribution of the random variable X. Explain your answer.

x
−1 0 1 2 3
P(X = x)
0.3 0.1 0.2 0.2 0.2
A. Yes, because the probabilities are all between 0 and 1, inclusive, and the values are all unique.
B. Yes, because the sum of the probabilities is equal to 1 and the values are all unique.    
C. Yes, because the probabilities are all between 0 and 1, inclusive, and their sum is equal to
D. No, because the sum of the probabilities is not less than 1.
E. There is not enough information to tell.
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