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High-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan...

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High-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2676. Assume thestandard deviation is $509. A real estate firm samples 108 apartments. Use the TI-84 Plus calculator.Part 1 of 5(a) What is the probability that the sample mean rent is greater than $2746? Round the answer to at least four decimalplaces.The probability that the sample mean rent is greater than $2746 isPart 2 of 5(b) What is the probability that the sample mean rent is between $2550 and $2555? Round the answer to at least fourdecimal places.The probability that the sample mean rent is between $2550 and $2555 is

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