Question

Which table shows a probability distribution?


X 0 1 2 3
P −0.3 0.6 0.5 0.2

X 0 1 2 3
P 0.4 0.3 0.4 0.1

X 0 1 2 3
P 0.1 0.5 0.3 0.1

X 0 1 2 3
P 0.3 0.1 0.2 0.2

Answer 1

Considering that it has only positive probabilities, and the sum of the probabilities is of 1, the table that shows a probability distribution is given by:

X 0 1 2 3

P 0.1 0.5 0.3 0.1

When does a table represent a probability distribution?

A table is formed by a set of points (x, P(x)), and represents a probability distribution if:

• The sum of the probabilities is of 1.

• All probabilities are 0 or positive.

In this problem:

• In the first table, there is a negative probability, which is P(X = 0) = -0.3.

• In the second and the fourth tables, the sums are of 1.2 and 0.8, respectively.

Hence, the table that represents a probability distribution is given as follows:

X 0 1 2 3

P 0.1 0.5 0.3 0.1

More can be learned about a probability distribution at https://brainly.com/question/24855677