PS.5.ATMM.5
Find the expected payoff for a game of chance (e.g., find the expected winnings from a state lottery or a game at a fast-food restaurant)
Example Problems
An animal‑shelter manager tracks daily adoptions.
Let = the number of animals adopted in one day.
Find the mean of .
Let = the number of animals adopted in one day.
| A = # adopted | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| Probability | 0.15 | 0.35 | 0.30 | 0.15 | 0.05 |
Find the mean of .
Meteorologists count monthly severe‑storm warnings in a region.
Let = the number of warnings in a month.
Calculate the expected value of .
Let = the number of warnings in a month.
| W = warnings | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| Probability | 0.50 | 0.30 | 0.15 | 0.05 |
Calculate the expected value of .
In a family board game, landing on a special square changes a player's money by an amount G shown below.
Find the expected value of G.
| Outcome | -$10 | $0 | $20 |
|---|---|---|---|
| Probability | 0.20 | 0.50 | 0.30 |
Find the expected value of G.
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