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Reading 4b: Discrete Random Variables: Expected Value

1 Discrete Random Variables: Expected Value Class 4, Jeremy Orloff and Jonathan Bloom Expected Value In the R Reading questions for this lecture, you simulated the average Value of rolling a die many times. You should have gotten a Value close to the exact answer of To motivate the formal definition of the average, or Expected Value , we first consider some examples. example 1. Suppose we have a six-sided die marked with five 5 3 s and one 6. (This was the red one from our non-transitive dice.) What would you expect the average of 6000 rolls to be?

In the R reading questions for this lecture, you simulated the average value of rolling a die many times. You should have gotten a value close to the exact answer of 3.5. To motivate the formal definition of the average, or expected value, we first consider some examples. Example 1. Suppose we have a six-sided die marked with five 5 3’s ...

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