Question

Determine whether the distribution represents a probability distribution.

Answer 1

A probability distribution is a mathematical function that provides the probabilities of all possible outcomes of an event. In order for a distribution to represent a probability distribution, it must satisfy certain conditions: the sum of all probabilities must be equal to 1, and all probabilities must be non-negative.

Step-by-step explanation:

A probability distribution is a mathematical function that provides the probabilities of all possible outcomes of an event. In order for a distribution to represent a probability distribution, it must satisfy certain conditions:

1. The sum of all probabilities must be equal to 1.
2. All probabilities must be non-negative.

To determine whether a distribution represents a probability distribution, you need to check if these conditions are met. If the sum of all probabilities is equal to 1 and all probabilities are non-negative, then the distribution represents a probability distribution.

\For example, if you have a distribution with the following probabilities:

0.3, 0.2, 0.1, 0.4

The sum of these probabilities is 0.3 + 0.2 + 0.1 + 0.4 = 1, which satisfies the first condition. Additionally, all probabilities are non-negative, so this distribution represents a probability distribution.

Answer 2

No, the given distribution does not represents a probability distribution.

Step-by-step explanation:

In a probability distribution the sum of all the probabilities in a discrete probability distribution must add up to 1 and each individual probability can never be negative or greater than.

Here, P(3) = -3, which is negative, so, the given distribution does not represents a probability distribution.