The option that shows a valid distribution is the probability distribution in option A.
Why is this a valid probability distribution?
In a probability distribution, all the probabilities given must add up to 1.
Of the given functions, only the distribution in A has that quality:
Distribution A: Distribution B:
= 0.45 + 0.16 + 0.39 = -0.14 + 0.6 + 0.25 + 0.29
= 1 = 1 but probability can't be
negative
Distribution C: Distribution D:
= 0.45 + 1.23 - 0.87 +0.19 = 0.87 + 0.56 + 1.38
= 1 but probabililty can't be negative = 2.81
In conclusion, option A is correct.
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, 0.45, 0.16, 0.39.
The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries negative 0.14, 0.6, 0.25, 0.29.
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 0.45, 1.23, negative 0.87, 0.19.
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 0.87, 0.56, 0, 1.38.
Find out more on probability distributions at https://brainly.com/question/25870256.
