High-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2681. Assume the standard deviation is $510. A real estate firm samples 112 apartments. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean rent is greater than $2751? Round the answer to at least four decimal places. The probability that the sample mean rent is greater X 5 than $2751 is [. Part 2 of 5 (b) What is the probability that the sample mean rent is between $2500 and $2650? Round the answer to at least four decimal places. The probability that the sample mean rent is between X 5 $2500 and $2650 is . Part 3 of 5 (c) Find the ss" percentile of the sample mean. Round the answer to at least two decimal places. The 55" percentile of the sample mean rent is $ X 5 Part 4 of 5 (d) Would it be unusual if the sample mean were greater than $2742? Round answer to at least four decimal places. (Choose one) , because the probability that the sample x 5 mean is greater than $2742 is. Part 5 of 5 (e) Do you think it would be unusual for an individual to have a rent greater than $2742? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places. (Choose one) , because the probability that an X 5 apartment has a rent greater than $2742 is