Statistical Sciences 2035 Lecture Notes - Lecture 5: Countable Set, Random Variable, Municipal Bus Company
20 Jan 2018
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A random variable is a variable which assigns a numerical value to every outcome of a random experiment. A discrete random variable, x, has a finite number of possible values (or a countably infinite number of values) In examining an item with respect to the 3 categories, let x = number of satisfactory categories. A factory manager is interested in how many accidents occur in the factory in a given year. x = number of accidents in a year. The probability distribution of a discrete r. v. x lists all possible values of x and their probabilities: x x1 x2 x3. P(xi)= p(x = xi) is called a probability function (pf) Properties of a pf: 0 p(xi) 1, p(x1) + p(x2) + + p(xk) = p(xi) = 1. The probability distribution of x = number of satisfactory categories: x. Suppose the probability function for x = number of accidents per year is: In example 4. 2, you are given the following events:
