# Chapter 5 - 5-1 Two Discrete Random Variables In previous...

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5-1 Two Discrete Random Variables In previous chapters, we studied the probability distributions of a single random variable. Sometimes it is useful to study more than one random variable in a random experiment. Example 1: transmitted signals X= the number of high quality signals Y = the number of low quality signals

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5-1 Two Discrete Random Variables Example 2: Injection molded parts X = length of dimension of injected part Y = length of another dimension of the injected part Let the specs of X is: 2.95 to 3.05, and for Y is: 7.60 to 7.80 We may be interested in the probability that a part satisfies both specs; that is P(2.95 < X < 3.05) and P(7.69 < Y < 7.80) . In general, if X and Y are two random variables, the probability distribution that defines their simultaneous behavior is called a joint probability distribution .