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Math1313-Section8.1-Blank

Math1313-Section8.1-Blank - A bar graph which represents...

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Section 8.1 – Distributions of Random Variables 1 Section 8.1 Distributions of Random Variables A rule that assigns a number to each outcome of an experiment is called a random variable. Capital letters are often used to represent random variables. For example, a random variable X can represent the sum of the face values of two six- sided dice. The random variable may take on any number in the set {2, 3, …, 12}. We can construct the probability distribution associated with a random variable. If x 1 , x 2 , x 3 ,…, x n are values assumed by the random variable X with associated probabilities P ( X= x 1 ) = p 1 , P ( X= x 2 ) = p 2 , …, P ( X= x n ) = p n , respectively, then the probability distribution of X may be expressed in the following way. x P ( X = x ) x 1 p 1 x 2 p 2 . . . . . . x n p n We can also graphically represent the probability distribution of a random variable.

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