(All Steps) A grocery store gives its customers scratch-cards that may win them a prize if the secret code matches the winning numbers. Through this scratch-card
Question: A grocery store gives its customers scratch-cards that may win them a prize if the secret code matches the winning numbers. Through this scratch-card program, customers can win various amounts with difference probabilities, as described in the table below:
- What’s the probability of winning nothing?
- What’s the mean amount won? Explain what this value means for the individual customer and for the grocery store.
- What's the standard deviation of the amount won? Explain what this value means in terms of winnings.
- Suppose the store manager can choose between the scratch-cards A that are described above,
and the new scratch cards B with probabilities and payoffs displayed in the table below:
Which scratch card program has the lowest average win, and therefore is less expensive for the store?
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