MATH 327 Chapter Notes - Chapter 3: Bernoulli Distribution, Probability Distribution, Random Variable
16 Oct 2017
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The random variable for which 0 and 1 are chosen to describe the two possible values is called a bernoulli random variable. A random variable is called a discrete random variable if its set of possible outcomes is countable. When a random variable can take on values 84 on a continuous scale, it is called a continuous random variable. In dealing with continuous variables, f(x) is usually called the probability density function, or simply the density function, of x . Since x is de ned over a continuous sample space, it is possible for f(x) to have a nite number of discontinuities. However, most density functions that have practical applications in the analysis of statistical data are continuous and their graphs may take any of several forms, some of which are shown in. Because areas will be used to represent probabilities and probabilities are positive numerical values, the density function must lie entirely above the x axis.
