##### Asked by: Sarra Vasyuk

asked in category: General Last Updated: 20th June, 2020# How do you know if something is a discrete probability distribution?

**discrete probability distribution**lists each possible value that a random variable can take, along with

**its probability**. It has the following properties: The

**probability**of each value of the

**discrete**random variable is between 0 and 1, so 0 ≤ P(x) ≤ 1. The sum of all the

**probabilities**is 1, so ∑ P(x) = 1.

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Also question is, what makes something a discrete probability distribution?

A ** discrete distribution ** describes the ** probability ** of occurrence of each value of a ** discrete ** random variable. A ** discrete ** random variable is a random variable that has countable values, such as a list of non-negative integers. Thus, a ** discrete probability distribution ** is often presented in tabular form.

One may also ask, what is a probability distribution for a discrete random variable What does it look like? The ** probability distribution ** of a ** discrete random variable ** x lists the values and their ** probabilities ** , where value x1 ** has probability ** p1 , value x2 ** has probability ** x2 , and so on. Every ** probability ** pi is a number between 0 and 1, and the sum of all the ** probabilities ** is equal to 1.

Keeping this in consideration, what is an example of a discrete probability distribution?

The number of ice cream servings that James should put in his cart is an ** example of a discrete ** random variable because there are only certain values that are possible (120, 130, 140, etc.), so this represents a ** discrete probability distribution ** , since this gives the ** probability ** of getting any particular value of the

What are the characteristics of a continuous probability distribution?

All ** probability density ** functions satisfy the following conditions: The random variable Y is a function of X; that is, y = f(x). The value of y is greater than or equal to zero for all values of x. The total area under the curve of the function is equal to one.