High-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2676. Assume the standard 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 decimal places. The probability that the sample mean rent is greater than $2746 is Part 2 of 5 (b) What is the probability that the sample mean rent is between $2550 and $2555? Round the answer to at least four decimal places. The probability that the sample mean rent is between $2550 and $2555 is