High-rent district: The mean monthly rent for a onebedroom apartment without a doorman in Manhattan is $2550. Assume the standard deviation is $485. A real estate rm samples 85 apartments. Use the TI84 Plus calculator. (a) What is the probability that the sample mean rent is greater than $2620? Round the answer to at least four decimal places. The probability that the sample mean rent is greater than $2620 is E]. (b) What is the probability that the sample mean rent is between $2419 and $2519? Round the answer to at least four decimal places. The probability that the sample mean rent is between $2419 and $2519 is E]. (c) Find the 60th percentile of the sample mean. Round the answer to at least two decimal places. The 60th percentile of the sample mean rent is 3D . (d) Would it be unusual if the sample mean were greater than $2700? Round answer to at least four decimal places. _ because the probability that the sample mean is greater than $2700 is (e) Do you think it would be unusual for an individual to have a rent greater than $2700? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places. (Choose one) Y , because the probability that an apartment has a rent greater than $2700 - EC]