bb

Suppose that X is a discrete random variable and that x is one of its possible values. The probability that random variable X takes specific value x is denoted P( X = x). The prob ability distribution function of a random variable is a representation of the probabilities for all the possible outcomes. This representation might be algebraic, graphical, or tabular. screte Random Variables and Probability Distributions t7 For discrete random variables, one simple procedure is to list the probabilities of all pos- sible outcomes according to the values of x. Probability Distribution Function The probability distribution function, P(x), of a discrete random variable X represents the probability that X takes the value x, as a function of x. That is, P(x) = P(X = x), for all values of x We use the term probability distribution to represent probability distribution functions in this book, following the common practice. Once the probabilities have been calculated, the probability distribution function can be graphed Example 4.1 Number of Product Sales (Probability Distribution Graph) Define and graph the probability distribution function for the number of sandwiches sold by a sandwich shop. This shop offers sandwiches that have a price of $3.00 each