High-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2663. Assume the standard deviation is $506. A real estate firm samples 106 apartments. Use Excel. Part 1 of 5 (a) What is the probability that the sample mean rent is greater than $2733? Round the answer to at least four decimal places. The probability that the sample mean rent is greater than $2733 is 0772 Alternate Answer: The probability that the sample mean rent is greater than $2733 is 0,0772. Part 2 of 5 (b) What is the probability that the sample mean rent is between $2500 and $2575? Round the answer to at least four decimal places. The probability that the sample mean rent is between $2500 and $2575 is .0367 Part 3 of 5 (c) Find the 90 percentile of the sample mean. Round the answer to at least two decimal places. The 90th percentile of the sample mean rent is $2726.01 Part 4 of 5

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