MD.4.S.4
(+) Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically. (+) Find the expected value. For example: Find a current data distribution on the number of TV sets per household in the United States, and calculate the expected number of sets per household. How many TV sets would you expect to find in 100 randomly selected households?
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 photocopier has a chance of breaking this month, which would cost to repair; otherwise, there is no repair cost. What is the expected repair cost for the month?
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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