8ExpectedValue

# 8ExpectedValue - Click to edit Master subtitle style EE...

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Unformatted text preview: Click to edit Master subtitle style EE 3180 Probability and The Expected Value Jeffrey B. Burl EE 3180 Probability and 11 EE 3180 Probability and Averaging n Consider an experiment of drawing a ball from a hat: n 20 balls with the number 3 n 10 balls with the number 1 n RV is the number on the ball n Repeat the experiment 100 times: n Get 62 3s and 38 1s n EE 3180 Probability and 22 62 3 38 1 2.27 100 + = EE 3180 Probability and Expected Value - Intuitive n Without performing the experiment, what would we expect to get for an average? n Probably get: n Expected # 3s n Expected # 1s n Expected average EE 3180 Probability and 33 100Pr(3) 67 = 100Pr(1) 33 = 3 100Pr(3) 1 100Pr(1) 3Pr(3) 1Pr(1) 2.33 100 + = = + = EE 3180 Probability and Expected Value Defined n The expected value of X is the mean value: n Note that this can be understood by noting: n The expected value of any function of a RV...
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8ExpectedValue - Click to edit Master subtitle style EE...

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