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

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Unformatted text preview: 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 signalsX= the number of high quality signalsY = the number of low quality signals 5-1 Two Discrete Random Variables•Example 2: Injection molded partsX = length of dimension of injected partY = 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.5-1 Two Discrete Random VariablesExample 5-1•Calls are made to check the airline schedule at your departure city.•You monitor the number of bars of signal strength on your cell phone and the number of times you have to state the name of your departure city before the voice system recognizes the name.•In the first 4 bits transmitted, let:X denote the number of bars of signal strength on your cell phoneY denote the number of times you need to state your departure cityJoint probability distribution of X and Y in Example 5-1....
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This note was uploaded on 10/12/2011 for the course STATISTICS 101 taught by Professor Nazim during the Spring '10 term at Qatar University.

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

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