High-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2699. Assume the standard deviation is $513. A real estate firm samples 103 apartments. Use
a) The probability that the sample mean rent is less than $2500
b) The probability that the sample mean rent is greater than $2800
c) The probability that the sample mean rent is between $2600 and $2700
d) The probability that the sample mean rent is exactly $2699