Elementary Statistics Chapter 5 Section 6.1 – Flashcards

When experiments are conducted in a way such that the outcome is a numerical​ result, it is said that the outcome is a random variable. A random variable is a numerical measure of the outcome of a probability​ experiment, so its value is determined by chance.

lists each possible value a random variable can​ assume, together with its probability.

The probability of each value of the discrete random variable is between 0 and​ 1, inclusive and the sum of all the probabilities is 1 are the two conditions of a discrete probability distribution.

Each probability must be between 0 and​ 1, inclusive, and the sum of the probabilities must equal 1. Each probability must be between 0 and​ 1, inclusive, and the sum of the probabilities must equal 1.

has either a finite or countable number of values. The values of a discrete random variable can be plotted on a number line with space between each point. Ex: The number of free-throw attempts before the first shot is made discrete or continuous X=0, 1, 2,....

has infinitely many values. The values of a continuous random variable can be plotted on a line in an uninterrupted fashion. Ex: The random variable is continuous. The possible values are t > 0.