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Please explain thoroughly this problem, thank you. Suppose the average casino patron in Las Vegas loses $110 per day, with a standard deviation of $700.

Please explain thoroughly this problem, thank you. Suppose the average casino patron in Las Vegas loses $110 per day, with a standard deviation of $700. Assume winnings/losses are normally distributed.

a. What is the probability that a random group of nine people averages more than $500 in winnings on their one-day trip to Las Vegas?

b. What is the probability that a random group of nine people averages more than $500 in losses on their one-day trip to Las Vegas?

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