S-MD.A.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 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.

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