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Problem 3. (8 pts) Suppose that in a city of 120,000 people the average income is 40,000 (dollars). Use the basic estimates we learned for

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Problem 3. (8 pts) Suppose that in a city of 120,000 people the average income is 40,000 (dollars). Use the basic estimates we learned for " tail probabilities" to: (a) (2 pts) Find an upper bound for the number of people in the city with income above 80,000 dollars. (b) (3 pts) Find a smaller upper bound, given that the standard deviation of the incomes is 10,000 dollars. (c) (3 pts) Can the incomes follow a normal distribution? What would be the maximum possible standard deviation of the incomes if they would follow a normal distribution

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