The probability that a certain slot machine will pay back, Operation Management

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The probability that a certain slot machine will pay back

The probability that a certain slot machine will pay back money when a quarter is inserted is 0.30. Assume that each play of the slot machine is independent from each other. A person puts in 15 quarters for 15 plays.

The mean grade on a math exam in Rachel's class was 74, with a standard deviation of 5. Rachel earned an 80.
The mean grade on a math exam in Becca's class was 47, with a standard deviation of 2. Becca earned a 51.
The mean grade on a math exam in Matt's class was 70, with a standard deviation of 8. Matt earned an 83.

Find whose score was the best, compared to his or her own class. Justify your answer numerically

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