(+)-S.MD.5
Use expected values from probability distributions to evaluate and compare the outcomes of decisions.
Example Problems
A fair coin is flipped 5 times. Let be the number of heads. What is the expected value of ?
In a game you roll a fair six-sided die. You receive (3 times the number showing) dollars minus 5 dollars. What is the expected payout?
A different product's reviews have the following distribution for star ratings T.
Find the indicated probability.
| T | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| P(T) | 0.08 | 0.12 | 0.28 | 0.30 | 0.22 |
Find the indicated probability.
Khan Academy ResourcesInterpret expected valueDevelop probability distributions: Empirical probabilitiesDevelop probability distributions: Theoretical probabilitiesMean (expected value) of a discrete random variableInterpreting expected valueTheoretical probability distribution example: tablesMean (expected value) of a discrete random variableTheoretical probability distribution example: multiplicationProbability distributions from empirical data

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