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5RandomVariablesandDistributionFunctions

# 5RandomVariablesandDistributionFunctions - Random Variables...

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Click to edit Master subtitle style  EE 3180 Probability and  Random Variables and the  Distribution Function Jeffrey B. Burl 11

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EE 3180 Probability and  Random Variables n A random variable (RV) is a number  X( α ) assigned to every outcome  α of a  random experiment n Natural if experiment is rolling a dice. n Unnatural for a coin. n Can map heads into 1 and tails into 0 to make a  random variable. 22
EE 3180 Probability and  Discrete/Continuous RVs n Discrete: n Rolling a dice-6 possible numbers. n Number of phone calls made in an hour. n Continuous: n Voltage measured across a resistor. n Temperature of a computer chip 10  minutes after power. 33

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EE 3180 Probability and  Events via RVs n Possible events for a random variable: n   n   n   44 X x x X x x 1 2 x X x x
EE 3180 Probability and  The Distribution Function n The distribution function of a RV is defined: n Properties: 55 ( ) Pr( ) x F x X x = 0 ( )

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5RandomVariablesandDistributionFunctions - Random Variables...

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