High-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is S2676. Assume the standard deviation is S509. 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 S2746? Round the answer to at least four decimal places The probability that the sample mean rent is greater than S2746 is Part 2 of 5 (b) What is the probability that the sample mean rent is between S2550 and $2555? Round the answer to at least four decimal places. The probability that the sample mean rent is between S2550 and S2555 is Part 3 of 5 (c) Find the 75th percentile of the sample mean. Round the answer to at least two decimal places. The 75th percentile of the sample mean rent is S Part 4 of 5 (d) Would it be unusual if the sample mean were greater than $2780? Round answer to at least four decimal places. (Choose one) ,because the probability that the sample mean is greater than S2780 is Part 5 of 5 (e) Do you think it would be unusual for an individual to have a rent greater than S2780? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places (Choose one),because the probability that an apartment has a rent greater than $2780 is