Which of the following is a valid probability distribution? A 2-column table labeled Probability Distribution A has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.42, 0.38, 0.13, 0.07. A 2-column table labeled Probability Distribution B has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.27, 0.28, 0.26, 0.27. A 2-column table labeled Probability Distribution C has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.16, 0.39, 0.18, 0.17. A 2-column table labeled Probability Distribution D has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.63, 0.12, 0.14, 0.13.

A is wrong, because it has a negative probability, which is impossible. A probability cannot be negative.
C is wrong for the same reason as A, it also has a negative probability.
D is wrong because if you add up all the probabilities in Probability Distribution D, it'll be greater than 100%, which is not possible. Reason is, the probability of all possible outcomes will add up to 100%. The chances of getting any possible outcome is 100%.
A is correct because all probabilities add up to 100%, and there is no negative probability.

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mercytrainer93 mercytrainer93 · Answer 2 · 2021-05-31T23:49:00+02:00

Answer:

b

Step-by-step explanation:

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